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Finding the Fourth Proportional to 6,754.34, 9,320.52 and 3,729.31

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Solution

The fourth proportional to 6,754.34, 9,320.52 and 3,729.31 is: 5,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.34 : 9,320.52 = 3,729.31 : x
  2. Step 2: Convert to fraction form
    6,754.34/9,320.52 = 3,729.31/x
  3. Step 3: Cross multiply
    6,754.34x = 9,320.52 × 3,729.31
  4. Step 4: Simplify right side
    6,754.34x = 34,759,078.15
  5. Step 5: Solve for x
    x = 34,759,078.15/6,754.34
  6. Step 6: Final answer
    x = 5,146.19

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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.