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Finding the Fourth Proportional to 9,715.80, 13,405.50 and 5,526.36

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Solution

The fourth proportional to 9,715.80, 13,405.50 and 5,526.36 is: 7,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.80 : 13,405.50 = 5,526.36 : x
  2. Step 2: Convert to fraction form
    9,715.80/13,405.50 = 5,526.36/x
  3. Step 3: Cross multiply
    9,715.80x = 13,405.50 × 5,526.36
  4. Step 4: Simplify right side
    9,715.80x = 74,083,618.98
  5. Step 5: Solve for x
    x = 74,083,618.98/9,715.80
  6. Step 6: Final answer
    x = 7,625.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.