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Finding the Fourth Proportional to 10,425.89, 14,387.28 and 6,447.44

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Solution

The fourth proportional to 10,425.89, 14,387.28 and 6,447.44 is: 8,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.89 : 14,387.28 = 6,447.44 : x
  2. Step 2: Convert to fraction form
    10,425.89/14,387.28 = 6,447.44/x
  3. Step 3: Cross multiply
    10,425.89x = 14,387.28 × 6,447.44
  4. Step 4: Simplify right side
    10,425.89x = 92,761,124.56
  5. Step 5: Solve for x
    x = 92,761,124.56/10,425.89
  6. Step 6: Final answer
    x = 8,897.19

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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.