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Finding the Fourth Proportional to 6,728.87, 9,285.83 and 3,744.96

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Solution

The fourth proportional to 6,728.87, 9,285.83 and 3,744.96 is: 5,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.87 : 9,285.83 = 3,744.96 : x
  2. Step 2: Convert to fraction form
    6,728.87/9,285.83 = 3,744.96/x
  3. Step 3: Cross multiply
    6,728.87x = 9,285.83 × 3,744.96
  4. Step 4: Simplify right side
    6,728.87x = 34,775,043.19
  5. Step 5: Solve for x
    x = 34,775,043.19/6,728.87
  6. Step 6: Final answer
    x = 5,168.04

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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.