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Finding the Fourth Proportional to 6,454.25, 9,687.45 and 3,169.70

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Solution

The fourth proportional to 6,454.25, 9,687.45 and 3,169.70 is: 4,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.25 : 9,687.45 = 3,169.70 : x
  2. Step 2: Convert to fraction form
    6,454.25/9,687.45 = 3,169.70/x
  3. Step 3: Cross multiply
    6,454.25x = 9,687.45 × 3,169.70
  4. Step 4: Simplify right side
    6,454.25x = 30,706,261.83
  5. Step 5: Solve for x
    x = 30,706,261.83/6,454.25
  6. Step 6: Final answer
    x = 4,757.53

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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.