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Finding the Fourth Proportional to 6,729.89, 9,287.41 and 3,745.54

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Solution

The fourth proportional to 6,729.89, 9,287.41 and 3,745.54 is: 5,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.89 : 9,287.41 = 3,745.54 : x
  2. Step 2: Convert to fraction form
    6,729.89/9,287.41 = 3,745.54/x
  3. Step 3: Cross multiply
    6,729.89x = 9,287.41 × 3,745.54
  4. Step 4: Simplify right side
    6,729.89x = 34,786,374.92
  5. Step 5: Solve for x
    x = 34,786,374.92/6,729.89
  6. Step 6: Final answer
    x = 5,168.94

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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.