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Finding the Fourth Proportional to 6,397.25, 9,596.18 and 2,502.57

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Solution

The fourth proportional to 6,397.25, 9,596.18 and 2,502.57 is: 3,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.25 : 9,596.18 = 2,502.57 : x
  2. Step 2: Convert to fraction form
    6,397.25/9,596.18 = 2,502.57/x
  3. Step 3: Cross multiply
    6,397.25x = 9,596.18 × 2,502.57
  4. Step 4: Simplify right side
    6,397.25x = 24,015,112.18
  5. Step 5: Solve for x
    x = 24,015,112.18/6,397.25
  6. Step 6: Final answer
    x = 3,753.97

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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.