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Finding the Fourth Proportional to 9,932.59, 13,715.87 and 7,410.32

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Solution

The fourth proportional to 9,932.59, 13,715.87 and 7,410.32 is: 10,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.59 : 13,715.87 = 7,410.32 : x
  2. Step 2: Convert to fraction form
    9,932.59/13,715.87 = 7,410.32/x
  3. Step 3: Cross multiply
    9,932.59x = 13,715.87 × 7,410.32
  4. Step 4: Simplify right side
    9,932.59x = 101,638,931.58
  5. Step 5: Solve for x
    x = 101,638,931.58/9,932.59
  6. Step 6: Final answer
    x = 10,232.87

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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.