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Finding the Fourth Proportional to 10,080.64, 15,102.82 and 9,487.66

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Solution

The fourth proportional to 10,080.64, 15,102.82 and 9,487.66 is: 14,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.64 : 15,102.82 = 9,487.66 : x
  2. Step 2: Convert to fraction form
    10,080.64/15,102.82 = 9,487.66/x
  3. Step 3: Cross multiply
    10,080.64x = 15,102.82 × 9,487.66
  4. Step 4: Simplify right side
    10,080.64x = 143,290,421.20
  5. Step 5: Solve for x
    x = 143,290,421.20/10,080.64
  6. Step 6: Final answer
    x = 14,214.42

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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.