Detroit is extremely poor. It's not in the same class as cities like SF, Chicago or NYC in the sense that these cities have money and can spread it around to functional services.
For what it has, Detroit isn't run THAT poorly. Trash still gets taken out.
They both do a crappy job but Detroit does it more efficiently.
Detroit has the land area, housing stock, and general infrastructure for a peak population of 1,849,568. Only 713,777 people live there today. Consider for a minute that that's a very difficult problem.
It doesn't help that it's much poorer than any of the other cities mentioned yet is far bigger than SF and Chicago combined...
But it didn't start out poor.
Well, there's São Paulo.
Damn Sao Paulo is now in the US. Expansion goes fast.