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Finding the Fourth Proportional to 9,624.38, 14,394.87 and 5,666.22

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Solution

The fourth proportional to 9,624.38, 14,394.87 and 5,666.22 is: 8,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.38 : 14,394.87 = 5,666.22 : x
  2. Step 2: Convert to fraction form
    9,624.38/14,394.87 = 5,666.22/x
  3. Step 3: Cross multiply
    9,624.38x = 14,394.87 × 5,666.22
  4. Step 4: Simplify right side
    9,624.38x = 81,564,500.29
  5. Step 5: Solve for x
    x = 81,564,500.29/9,624.38
  6. Step 6: Final answer
    x = 8,474.78

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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.