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.

4, 5, ['2167', '7427', 'i', '7289', 'I', '3935', 'o', '6443', 'T', 'e', 'K', '2979', '2025', '5819']
7289

6, 9, ['J', '5177', 'm', '7413', 'T', 'N', '5153', 'S', '8145']
13298

2, 4, ['9033', '5593', '1663', 'q', 'x', 'S', 'V', '2325', '9245', '7205', 's', 'e', '3623', 'u']

7256