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Finding the Fourth Proportional to 6,867.12, 9,476.48 and 3,882.56

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Solution

The fourth proportional to 6,867.12, 9,476.48 and 3,882.56 is: 5,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.12 : 9,476.48 = 3,882.56 : x
  2. Step 2: Convert to fraction form
    6,867.12/9,476.48 = 3,882.56/x
  3. Step 3: Cross multiply
    6,867.12x = 9,476.48 × 3,882.56
  4. Step 4: Simplify right side
    6,867.12x = 36,793,002.19
  5. Step 5: Solve for x
    x = 36,793,002.19/6,867.12
  6. Step 6: Final answer
    x = 5,357.85

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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.