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Finding the Fourth Proportional to 9.97, 13.75 and 6.73

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Solution

The fourth proportional to 9.97, 13.75 and 6.73 is: 9.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.97 : 13.75 = 6.73 : x
  2. Step 2: Convert to fraction form
    9.97/13.75 = 6.73/x
  3. Step 3: Cross multiply
    9.97x = 13.75 × 6.73
  4. Step 4: Simplify right side
    9.97x = 92.54
  5. Step 5: Solve for x
    x = 92.54/9.97
  6. Step 6: Final answer
    x = 9.28

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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.