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Finding the Fourth Proportional to 6,451.38, 9,686.79 and 5,634.90

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Solution

The fourth proportional to 6,451.38, 9,686.79 and 5,634.90 is: 8,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.38 : 9,686.79 = 5,634.90 : x
  2. Step 2: Convert to fraction form
    6,451.38/9,686.79 = 5,634.90/x
  3. Step 3: Cross multiply
    6,451.38x = 9,686.79 × 5,634.90
  4. Step 4: Simplify right side
    6,451.38x = 54,584,092.97
  5. Step 5: Solve for x
    x = 54,584,092.97/6,451.38
  6. Step 6: Final answer
    x = 8,460.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.