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.

5, 9, ['9825', '3055', '9869', 'B', 'a', 'W', 'Q', 'k', '4383', 'Q', '8523', 's', 'R', '1481', '5887', '239', 'M', '7121', '6311']
4383

1, 4, ['7771', '6243', 's', 'n', '4775']
14014

1, 5, ['v', '4577', '1655', 'P', 'r']

6232