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Finding the Fourth Proportional to 10,425.96, 14,387.04 and 6,447.15

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Solution

The fourth proportional to 10,425.96, 14,387.04 and 6,447.15 is: 8,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.96 : 14,387.04 = 6,447.15 : x
  2. Step 2: Convert to fraction form
    10,425.96/14,387.04 = 6,447.15/x
  3. Step 3: Cross multiply
    10,425.96x = 14,387.04 × 6,447.15
  4. Step 4: Simplify right side
    10,425.96x = 92,755,404.94
  5. Step 5: Solve for x
    x = 92,755,404.94/10,425.96
  6. Step 6: Final answer
    x = 8,896.58

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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.