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Finding the Fourth Proportional to 9,478.64, 14,217.96 and 2,553.14

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Solution

The fourth proportional to 9,478.64, 14,217.96 and 2,553.14 is: 3,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.64 : 14,217.96 = 2,553.14 : x
  2. Step 2: Convert to fraction form
    9,478.64/14,217.96 = 2,553.14/x
  3. Step 3: Cross multiply
    9,478.64x = 14,217.96 × 2,553.14
  4. Step 4: Simplify right side
    9,478.64x = 36,300,371.30
  5. Step 5: Solve for x
    x = 36,300,371.30/9,478.64
  6. Step 6: Final answer
    x = 3,829.70

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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.