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Finding the Fourth Proportional to 9.65, 13.31 and 6.41

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Solution

The fourth proportional to 9.65, 13.31 and 6.41 is: 8.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 13.31 = 6.41 : x
  2. Step 2: Convert to fraction form
    9.65/13.31 = 6.41/x
  3. Step 3: Cross multiply
    9.65x = 13.31 × 6.41
  4. Step 4: Simplify right side
    9.65x = 85.29
  5. Step 5: Solve for x
    x = 85.29/9.65
  6. Step 6: Final answer
    x = 8.84

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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.