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Finding the Fourth Proportional to 9.29, 13.84 and 9.25

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Solution

The fourth proportional to 9.29, 13.84 and 9.25 is: 13.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.29 : 13.84 = 9.25 : x
  2. Step 2: Convert to fraction form
    9.29/13.84 = 9.25/x
  3. Step 3: Cross multiply
    9.29x = 13.84 × 9.25
  4. Step 4: Simplify right side
    9.29x = 128.02
  5. Step 5: Solve for x
    x = 128.02/9.29
  6. Step 6: Final answer
    x = 13.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.