Wilson Betemit capped a three-run eighth with 4, game series.
Jose Valverde worked around a two-out single and walk in the ninth to pick up his 40th save of the season. He is the second pitcher in Tigers history to register 40 saves in a single season. Todd Jones established a Tigers single- season record with 42 saves during the 2000 season.
Eric Hosmer hit a pair of solo home runs to record his first career multi- homer game for the Royals, who have lost two in a row since a two-game winning streak.
Nate Adcock made a spot start in place of Felipe Paulino, who was scratched earlier on Wednesday because of back spasms. Adcock allowed two runs on six hits over 5 1/3 innings.