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Finding the Fourth Proportional to 6,867.14, 9,474.42 and 3,882.68

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Solution

The fourth proportional to 6,867.14, 9,474.42 and 3,882.68 is: 5,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.14 : 9,474.42 = 3,882.68 : x
  2. Step 2: Convert to fraction form
    6,867.14/9,474.42 = 3,882.68/x
  3. Step 3: Cross multiply
    6,867.14x = 9,474.42 × 3,882.68
  4. Step 4: Simplify right side
    6,867.14x = 36,786,141.05
  5. Step 5: Solve for x
    x = 36,786,141.05/6,867.14
  6. Step 6: Final answer
    x = 5,356.84

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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.