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Finding the Fourth Proportional to 6,640.20, 9,938.70 and 5,171.40

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Solution

The fourth proportional to 6,640.20, 9,938.70 and 5,171.40 is: 7,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.20 : 9,938.70 = 5,171.40 : x
  2. Step 2: Convert to fraction form
    6,640.20/9,938.70 = 5,171.40/x
  3. Step 3: Cross multiply
    6,640.20x = 9,938.70 × 5,171.40
  4. Step 4: Simplify right side
    6,640.20x = 51,396,993.18
  5. Step 5: Solve for x
    x = 51,396,993.18/6,640.20
  6. Step 6: Final answer
    x = 7,740.28

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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.