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Finding the Fourth Proportional to 6,729.36, 9,286.08 and 3,896.24

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Solution

The fourth proportional to 6,729.36, 9,286.08 and 3,896.24 is: 5,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.36 : 9,286.08 = 3,896.24 : x
  2. Step 2: Convert to fraction form
    6,729.36/9,286.08 = 3,896.24/x
  3. Step 3: Cross multiply
    6,729.36x = 9,286.08 × 3,896.24
  4. Step 4: Simplify right side
    6,729.36x = 36,180,796.34
  5. Step 5: Solve for x
    x = 36,180,796.34/6,729.36
  6. Step 6: Final answer
    x = 5,376.56

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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.