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Finding the Fourth Proportional to 6,729.89, 9,287.06 and 3,745.58

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Solution

The fourth proportional to 6,729.89, 9,287.06 and 3,745.58 is: 5,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.89 : 9,287.06 = 3,745.58 : x
  2. Step 2: Convert to fraction form
    6,729.89/9,287.06 = 3,745.58/x
  3. Step 3: Cross multiply
    6,729.89x = 9,287.06 × 3,745.58
  4. Step 4: Simplify right side
    6,729.89x = 34,785,361.03
  5. Step 5: Solve for x
    x = 34,785,361.03/6,729.89
  6. Step 6: Final answer
    x = 5,168.79

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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.