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Finding the Fourth Proportional to 9,861.32, 13,609.18 and 5,385.49

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Solution

The fourth proportional to 9,861.32, 13,609.18 and 5,385.49 is: 7,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.32 : 13,609.18 = 5,385.49 : x
  2. Step 2: Convert to fraction form
    9,861.32/13,609.18 = 5,385.49/x
  3. Step 3: Cross multiply
    9,861.32x = 13,609.18 × 5,385.49
  4. Step 4: Simplify right side
    9,861.32x = 73,292,102.80
  5. Step 5: Solve for x
    x = 73,292,102.80/9,861.32
  6. Step 6: Final answer
    x = 7,432.28

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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.