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Finding the Fourth Proportional to 9.65, 13.28 and 8.88

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Solution

The fourth proportional to 9.65, 13.28 and 8.88 is: 12.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 13.28 = 8.88 : x
  2. Step 2: Convert to fraction form
    9.65/13.28 = 8.88/x
  3. Step 3: Cross multiply
    9.65x = 13.28 × 8.88
  4. Step 4: Simplify right side
    9.65x = 117.93
  5. Step 5: Solve for x
    x = 117.93/9.65
  6. Step 6: Final answer
    x = 12.22

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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.