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Finding the Fourth Proportional to 6,397.25, 9,593.72 and 2,447.58

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Solution

The fourth proportional to 6,397.25, 9,593.72 and 2,447.58 is: 3,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.25 : 9,593.72 = 2,447.58 : x
  2. Step 2: Convert to fraction form
    6,397.25/9,593.72 = 2,447.58/x
  3. Step 3: Cross multiply
    6,397.25x = 9,593.72 × 2,447.58
  4. Step 4: Simplify right side
    6,397.25x = 23,481,443.88
  5. Step 5: Solve for x
    x = 23,481,443.88/6,397.25
  6. Step 6: Final answer
    x = 3,670.56

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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.