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Finding the Fourth Proportional to 9.41, 13 and 8.69

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Solution

The fourth proportional to 9.41, 13 and 8.69 is: 12.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.41 : 13 = 8.69 : x
  2. Step 2: Convert to fraction form
    9.41/13 = 8.69/x
  3. Step 3: Cross multiply
    9.41x = 13 × 8.69
  4. Step 4: Simplify right side
    9.41x = 112.97
  5. Step 5: Solve for x
    x = 112.97/9.41
  6. Step 6: Final answer
    x = 12.01

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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.