That set the stage for Cabrera leading off the ninth. He poked a pitch from Aaron Crow (7-4) just over the fence down the left field line for the walk-off game-winner, driving in his MLB-best 117th run.
Cabrera also leads the majors with a .358 batting average.
Joaquin Benoit (3-0) pitched a scoreless top of the ninth to earn the decision.
Salvador Perez went 2-for-4 with a solo homer and two RBI for Kansas City.