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Finding the Fourth Proportional to 9.69, 13.41 and 9.29

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Solution

The fourth proportional to 9.69, 13.41 and 9.29 is: 12.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 13.41 = 9.29 : x
  2. Step 2: Convert to fraction form
    9.69/13.41 = 9.29/x
  3. Step 3: Cross multiply
    9.69x = 13.41 × 9.29
  4. Step 4: Simplify right side
    9.69x = 124.51
  5. Step 5: Solve for x
    x = 124.51/9.69
  6. Step 6: Final answer
    x = 12.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.