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Finding the Fourth Proportional to 9,663.32, 14,471.76 and 5,269.88

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Solution

The fourth proportional to 9,663.32, 14,471.76 and 5,269.88 is: 7,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.32 : 14,471.76 = 5,269.88 : x
  2. Step 2: Convert to fraction form
    9,663.32/14,471.76 = 5,269.88/x
  3. Step 3: Cross multiply
    9,663.32x = 14,471.76 × 5,269.88
  4. Step 4: Simplify right side
    9,663.32x = 76,264,438.59
  5. Step 5: Solve for x
    x = 76,264,438.59/9,663.32
  6. Step 6: Final answer
    x = 7,892.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.