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Finding the Fourth Proportional to 9,456.68, 14,177.97 and 8,861.54

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Solution

The fourth proportional to 9,456.68, 14,177.97 and 8,861.54 is: 13,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.68 : 14,177.97 = 8,861.54 : x
  2. Step 2: Convert to fraction form
    9,456.68/14,177.97 = 8,861.54/x
  3. Step 3: Cross multiply
    9,456.68x = 14,177.97 × 8,861.54
  4. Step 4: Simplify right side
    9,456.68x = 125,638,577.38
  5. Step 5: Solve for x
    x = 125,638,577.38/9,456.68
  6. Step 6: Final answer
    x = 13,285.69

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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.