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Finding the Fourth Proportional to 6,489.92, 9,667.91 and 6,086.54

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Solution

The fourth proportional to 6,489.92, 9,667.91 and 6,086.54 is: 9,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.92 : 9,667.91 = 6,086.54 : x
  2. Step 2: Convert to fraction form
    6,489.92/9,667.91 = 6,086.54/x
  3. Step 3: Cross multiply
    6,489.92x = 9,667.91 × 6,086.54
  4. Step 4: Simplify right side
    6,489.92x = 58,844,126.08
  5. Step 5: Solve for x
    x = 58,844,126.08/6,489.92
  6. Step 6: Final answer
    x = 9,067.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.