HELP!! I want to sum calculated values across columns, but only for rows meeting certain criteria.

For example,

Sumifs(a:a*b:b/c:c, D:D, >5, D:D, <10, E:E="yes") where the result is the sum of each row [a*b/c] where d is greater than 5 AND less than 10 AND E = "yes")

A ----B----C----D----E
12 7 2 4 Yes
11 8 4 6 NO
8 6 6 3 NO
7 12 4 12 YES
14 4 8 7 YES
10 5 25 8 YES

result=7+2 = 9

Thanks for any help or direction you can provide!