BOSTON — Kiké Hernandez delivered Boston's second straight walk-off win, scoring pinch-runner Danny Santana with a sacrifice fly in the ninth inning to send the Red Sox to the AL Championship Series with a 6-5 win over the Tampa Bay Rays on Monday night.

After winning Game 3 of their AL Division Series on Sunday with Christian Vázquez's two-run homer in the 13th, Boston took Game 4 for its first set of consecutive walk-off postseason wins since 2004 ALCS Games 4 and 5, both courtesy of David Ortiz against the Yankees.

Rafael Devers had a three-run home run off rookie Shane McClanahan to ignite a five-run third inning that put Boston in front 5-0. Tampa Bay battled back and tied it in the eighth.

The wild-card Red Sox will await the winner of the other ALDS matchup between the Houston Astros and Chicago White Sox. Houston leads 2-1 going into Game 4 in Chicago on Tuesday, a makeup of Monday's rainout.

Boston improved to 15-3 in potential clinching postseason games and have won each of their last eight. It brings an abrupt end to the season for the Rays, who'd been eyeing back-to-back trips to the World Series after winning 100 games during the regular season and rolling to AL East title.

Vázquez led off the ninth with a single through the hole to left field and moved to second a sacrifice bunt by Christian Arroyo. Travis Shaw then hit a bouncing ground ball to third that went for an infield single when Yandy Díaz bounced his throw to first baseman Ji-Man Choi.

ATLANTA— Joc Pederson credits his postseason success to “not making any moment bigger than it needs to be.”With another jolt, Pederson put the Atlanta Braves on the verge of advancing in the playoffs.Pederson kept enhancing his “Joctober” nickname with a three-run, pinch-hit homer and the Braves shut down Milwaukee once again, beating the Brewers 3-0 on Monday to take a 2-1 edge in the NL Division Series.“It was pretty special,” Pederson said of the fifth-inning drive. “To come up big in a moment like that was pretty cool.”In a matchup dominated by pitching, Ian Anderson and the Braves bullpen combined on a five-hitter and won by a 3-0 score for the second straight game.Boosted by shortstop Dansby Swanson's athletic defense, Atlanta can try to reach its second straight NL Championship Series when it hosts Game 4 on Tuesday.Pederson's homer was his second of the series, both as a pinch-hitter against Adrian Houser. Pederson singled as a pinch-hitter in his only other at-bat in this series, and has driven in four of Atlanta's seven runs.Pederson has hit 11 postseason home runs overall and helped the Los Angeles Dodgers win the World Series last year with his longballs. He then signed as a free agent with the Chicago Cubs in the winter and was traded to Atlanta in July.“He's been in the big moment, the big stage, and he's performed and guys appreciate that,” Braves manager Brian Snitker said.Since winning the opening game of the series, the NL Central champion Brewers have not scored in 19 consecutive innings. They were 0 for 8 with runners in scoring position in this loss.Asked about the poorly timed offensive slump, manager Craig Counsell said, "We're in it. I thought we swung the bats better today. ... We've got to catch a break, frankly.”Anderson was dominant for the NL East champion Braves, allowing three hits over five innings with no walks and six strikeouts. Will Smith, the fourth Braves reliever, pitched a perfect ninth for his second save of the series.Milwaukee starter Freddy Peralta pitched four scoreless innings and was pulled for a pinch-hitter when the Brewers threatened in the fifth.Houser gave up singles to Travis d'Arnaud and Swanson to open the fifth. Pederson, hitting for Anderson, pulled a high, inside fastball deep into the right-field seats for a 3-0 lead.“It didn't look like a bad pitch to me, but give him credit,” Counsell said.Asked how he pulled the high pitch for the homer, Pederson shrugged and said, “I guess I'm a pretty good player, I don't know. I knocked it out of the yard.”Adam Duvall made a crucial baserunning mistake when he tried to advance from first to second as Austin Riley tried to score from third on d'Arnaud's flyball in the second.