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Finding the Fourth Proportional to 9,449.76, 14,177.16 and 8,416.86

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Solution

The fourth proportional to 9,449.76, 14,177.16 and 8,416.86 is: 12,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.76 : 14,177.16 = 8,416.86 : x
  2. Step 2: Convert to fraction form
    9,449.76/14,177.16 = 8,416.86/x
  3. Step 3: Cross multiply
    9,449.76x = 14,177.16 × 8,416.86
  4. Step 4: Simplify right side
    9,449.76x = 119,327,170.92
  5. Step 5: Solve for x
    x = 119,327,170.92/9,449.76
  6. Step 6: Final answer
    x = 12,627.53

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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.