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Finding the Fourth Proportional to 9,861.92, 13,609.34 and 5,385.66

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Solution

The fourth proportional to 9,861.92, 13,609.34 and 5,385.66 is: 7,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.92 : 13,609.34 = 5,385.66 : x
  2. Step 2: Convert to fraction form
    9,861.92/13,609.34 = 5,385.66/x
  3. Step 3: Cross multiply
    9,861.92x = 13,609.34 × 5,385.66
  4. Step 4: Simplify right side
    9,861.92x = 73,295,278.06
  5. Step 5: Solve for x
    x = 73,295,278.06/9,861.92
  6. Step 6: Final answer
    x = 7,432.15

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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.