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Finding the Fourth Proportional to 6,426.90, 9,640.38 and 2,728.20

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Solution

The fourth proportional to 6,426.90, 9,640.38 and 2,728.20 is: 4,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.90 : 9,640.38 = 2,728.20 : x
  2. Step 2: Convert to fraction form
    6,426.90/9,640.38 = 2,728.20/x
  3. Step 3: Cross multiply
    6,426.90x = 9,640.38 × 2,728.20
  4. Step 4: Simplify right side
    6,426.90x = 26,300,884.72
  5. Step 5: Solve for x
    x = 26,300,884.72/6,426.90
  6. Step 6: Final answer
    x = 4,092.31

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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.