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Finding the Fourth Proportional to 6,882.62, 9,494.97 and 4,086.50

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Solution

The fourth proportional to 6,882.62, 9,494.97 and 4,086.50 is: 5,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.62 : 9,494.97 = 4,086.50 : x
  2. Step 2: Convert to fraction form
    6,882.62/9,494.97 = 4,086.50/x
  3. Step 3: Cross multiply
    6,882.62x = 9,494.97 × 4,086.50
  4. Step 4: Simplify right side
    6,882.62x = 38,801,194.91
  5. Step 5: Solve for x
    x = 38,801,194.91/6,882.62
  6. Step 6: Final answer
    x = 5,637.56

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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.