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Finding the Fourth Proportional to 6,729.54, 9,286.37 and 3,896.72

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Solution

The fourth proportional to 6,729.54, 9,286.37 and 3,896.72 is: 5,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.54 : 9,286.37 = 3,896.72 : x
  2. Step 2: Convert to fraction form
    6,729.54/9,286.37 = 3,896.72/x
  3. Step 3: Cross multiply
    6,729.54x = 9,286.37 × 3,896.72
  4. Step 4: Simplify right side
    6,729.54x = 36,186,317.79
  5. Step 5: Solve for x
    x = 36,186,317.79/6,729.54
  6. Step 6: Final answer
    x = 5,377.23

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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.