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Finding the Fourth Proportional to 9.56, 13.17 and 7.74

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Solution

The fourth proportional to 9.56, 13.17 and 7.74 is: 10.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.56 : 13.17 = 7.74 : x
  2. Step 2: Convert to fraction form
    9.56/13.17 = 7.74/x
  3. Step 3: Cross multiply
    9.56x = 13.17 × 7.74
  4. Step 4: Simplify right side
    9.56x = 101.96
  5. Step 5: Solve for x
    x = 101.96/9.56
  6. Step 6: Final answer
    x = 10.66

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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.