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Finding the Fourth Proportional to 9,531.36, 13,147.92 and 6,732

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Solution

The fourth proportional to 9,531.36, 13,147.92 and 6,732 is: 9,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.36 : 13,147.92 = 6,732 : x
  2. Step 2: Convert to fraction form
    9,531.36/13,147.92 = 6,732/x
  3. Step 3: Cross multiply
    9,531.36x = 13,147.92 × 6,732
  4. Step 4: Simplify right side
    9,531.36x = 88,511,797.44
  5. Step 5: Solve for x
    x = 88,511,797.44/9,531.36
  6. Step 6: Final answer
    x = 9,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.