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Finding the Fourth Proportional to 6,729.13, 9,285.06 and 3,744.87

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Solution

The fourth proportional to 6,729.13, 9,285.06 and 3,744.87 is: 5,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.13 : 9,285.06 = 3,744.87 : x
  2. Step 2: Convert to fraction form
    6,729.13/9,285.06 = 3,744.87/x
  3. Step 3: Cross multiply
    6,729.13x = 9,285.06 × 3,744.87
  4. Step 4: Simplify right side
    6,729.13x = 34,771,342.64
  5. Step 5: Solve for x
    x = 34,771,342.64/6,729.13
  6. Step 6: Final answer
    x = 5,167.29

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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.