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Finding the Fourth Proportional to 9.62, 13.31 and 9.38

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Solution

The fourth proportional to 9.62, 13.31 and 9.38 is: 12.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.62 : 13.31 = 9.38 : x
  2. Step 2: Convert to fraction form
    9.62/13.31 = 9.38/x
  3. Step 3: Cross multiply
    9.62x = 13.31 × 9.38
  4. Step 4: Simplify right side
    9.62x = 124.73
  5. Step 5: Solve for x
    x = 124.73/9.62
  6. Step 6: Final answer
    x = 12.97

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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.