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Finding the Fourth Proportional to 6,866.26, 9,475.92 and 3,882.12

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Solution

The fourth proportional to 6,866.26, 9,475.92 and 3,882.12 is: 5,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.26 : 9,475.92 = 3,882.12 : x
  2. Step 2: Convert to fraction form
    6,866.26/9,475.92 = 3,882.12/x
  3. Step 3: Cross multiply
    6,866.26x = 9,475.92 × 3,882.12
  4. Step 4: Simplify right side
    6,866.26x = 36,786,658.55
  5. Step 5: Solve for x
    x = 36,786,658.55/6,866.26
  6. Step 6: Final answer
    x = 5,357.60

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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.