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Finding the Fourth Proportional to 6,169.38, 8,456.64 and 6,086.32

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Solution

The fourth proportional to 6,169.38, 8,456.64 and 6,086.32 is: 8,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.38 : 8,456.64 = 6,086.32 : x
  2. Step 2: Convert to fraction form
    6,169.38/8,456.64 = 6,086.32/x
  3. Step 3: Cross multiply
    6,169.38x = 8,456.64 × 6,086.32
  4. Step 4: Simplify right side
    6,169.38x = 51,469,817.16
  5. Step 5: Solve for x
    x = 51,469,817.16/6,169.38
  6. Step 6: Final answer
    x = 8,342.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.