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.

[Q]: 3, 7, ['1811', 'Z', 'C', 'x', '6171', 'W', 'N', 'L', 'h', '4497']
[A]: 6171


[Q]: 1, 7, ['u', 'Z', 'j', 'A', 'N', 's', 'h', '7331', '8259']
[A]: 0


[Q]: 5, 9, ['B', '3203', '3527', 'X', '5499', 'A', 'U', '1473', 'Z', '1257', '7881', '6607', '5823', 'z', '5951', 'r', 'q', '1243', 'O', 'D', '9591', 'I']
[A]:
6972