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Finding the Fourth Proportional to 6,517.70, 9,781.35 and 2,624.90

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Solution

The fourth proportional to 6,517.70, 9,781.35 and 2,624.90 is: 3,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.70 : 9,781.35 = 2,624.90 : x
  2. Step 2: Convert to fraction form
    6,517.70/9,781.35 = 2,624.90/x
  3. Step 3: Cross multiply
    6,517.70x = 9,781.35 × 2,624.90
  4. Step 4: Simplify right side
    6,517.70x = 25,675,065.62
  5. Step 5: Solve for x
    x = 25,675,065.62/6,517.70
  6. Step 6: Final answer
    x = 3,939.28

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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.