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Finding the Fourth Proportional to 9.98, 13.85 and 9.54

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Solution

The fourth proportional to 9.98, 13.85 and 9.54 is: 13.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.98 : 13.85 = 9.54 : x
  2. Step 2: Convert to fraction form
    9.98/13.85 = 9.54/x
  3. Step 3: Cross multiply
    9.98x = 13.85 × 9.54
  4. Step 4: Simplify right side
    9.98x = 132.13
  5. Step 5: Solve for x
    x = 132.13/9.98
  6. Step 6: Final answer
    x = 13.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.