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Finding the Fourth Proportional to 9.82, 13.49 and 9.13

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Solution

The fourth proportional to 9.82, 13.49 and 9.13 is: 12.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 13.49 = 9.13 : x
  2. Step 2: Convert to fraction form
    9.82/13.49 = 9.13/x
  3. Step 3: Cross multiply
    9.82x = 13.49 × 9.13
  4. Step 4: Simplify right side
    9.82x = 123.16
  5. Step 5: Solve for x
    x = 123.16/9.82
  6. Step 6: Final answer
    x = 12.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.