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Finding the Fourth Proportional to 9,861.81, 13,609.40 and 5,385.61

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Solution

The fourth proportional to 9,861.81, 13,609.40 and 5,385.61 is: 7,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.81 : 13,609.40 = 5,385.61 : x
  2. Step 2: Convert to fraction form
    9,861.81/13,609.40 = 5,385.61/x
  3. Step 3: Cross multiply
    9,861.81x = 13,609.40 × 5,385.61
  4. Step 4: Simplify right side
    9,861.81x = 73,294,920.73
  5. Step 5: Solve for x
    x = 73,294,920.73/9,861.81
  6. Step 6: Final answer
    x = 7,432.20

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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.