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Finding the Fourth Proportional to 9,666.92, 13,346.77 and 7,424.78

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Solution

The fourth proportional to 9,666.92, 13,346.77 and 7,424.78 is: 10,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.92 : 13,346.77 = 7,424.78 : x
  2. Step 2: Convert to fraction form
    9,666.92/13,346.77 = 7,424.78/x
  3. Step 3: Cross multiply
    9,666.92x = 13,346.77 × 7,424.78
  4. Step 4: Simplify right side
    9,666.92x = 99,096,830.96
  5. Step 5: Solve for x
    x = 99,096,830.96/9,666.92
  6. Step 6: Final answer
    x = 10,251.13

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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.