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Finding the Fourth Proportional to 6,728.41, 9,285.09 and 3,744.16

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Solution

The fourth proportional to 6,728.41, 9,285.09 and 3,744.16 is: 5,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.41 : 9,285.09 = 3,744.16 : x
  2. Step 2: Convert to fraction form
    6,728.41/9,285.09 = 3,744.16/x
  3. Step 3: Cross multiply
    6,728.41x = 9,285.09 × 3,744.16
  4. Step 4: Simplify right side
    6,728.41x = 34,764,862.57
  5. Step 5: Solve for x
    x = 34,764,862.57/6,728.41
  6. Step 6: Final answer
    x = 5,166.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.