Adelaide, the AFL's great escape artists, have come from behind to pip Melbourne by 17 points and climb to fifth on the ladder.
The Crows, after trailing for most of Saturday afternoon's thriller at Adelaide Oval, booted the last two goals for a precious 11.13 (79) to 9.8 (62) victory.
With a fourth win by 17 points or less this season, Adelaide stole fifth spot from the Demons, who slip to sixth.
Melbourne led at the quarter breaks by eight, one and two points, but key Crow Riley Thilthorpe kicked the go-ahead goal 22 minutes into the final term.
And Josh Rachele slotted his third major on the final siren to steer the Crows to a 9-5 win-loss record - the same as the Dees.