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Finding the Fourth Proportional to 6,866.62, 9,475.50 and 3,882.58

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Solution

The fourth proportional to 6,866.62, 9,475.50 and 3,882.58 is: 5,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.62 : 9,475.50 = 3,882.58 : x
  2. Step 2: Convert to fraction form
    6,866.62/9,475.50 = 3,882.58/x
  3. Step 3: Cross multiply
    6,866.62x = 9,475.50 × 3,882.58
  4. Step 4: Simplify right side
    6,866.62x = 36,789,386.79
  5. Step 5: Solve for x
    x = 36,789,386.79/6,866.62
  6. Step 6: Final answer
    x = 5,357.71

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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.