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Finding the Fourth Proportional to 8.09, 12.09 and 6.41

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Solution

The fourth proportional to 8.09, 12.09 and 6.41 is: 9.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.09 : 12.09 = 6.41 : x
  2. Step 2: Convert to fraction form
    8.09/12.09 = 6.41/x
  3. Step 3: Cross multiply
    8.09x = 12.09 × 6.41
  4. Step 4: Simplify right side
    8.09x = 77.44
  5. Step 5: Solve for x
    x = 77.44/8.09
  6. Step 6: Final answer
    x = 9.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.