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Finding the Fourth Proportional to 6,426.90, 9,640.80 and 2,728.70

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Solution

The fourth proportional to 6,426.90, 9,640.80 and 2,728.70 is: 4,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.90 : 9,640.80 = 2,728.70 : x
  2. Step 2: Convert to fraction form
    6,426.90/9,640.80 = 2,728.70/x
  3. Step 3: Cross multiply
    6,426.90x = 9,640.80 × 2,728.70
  4. Step 4: Simplify right side
    6,426.90x = 26,306,850.96
  5. Step 5: Solve for x
    x = 26,306,850.96/6,426.90
  6. Step 6: Final answer
    x = 4,093.24

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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.