In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

2, 2, ['8023', '9385', '7533', 'd', 'H', '3751', 'A', '1399']
9385

1, 6, ['237', 'x', 'Q', 'J', '4629', 'q', '2831', 'i', 'm']
4866

5, 11, ['4793', '531', 'n', 'G', 'W', 'p', 'L', 'o', '6739', 'e', '6623']

13362