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Finding the Fourth Proportional to 8.93, 12.33 and 6.86

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Solution

The fourth proportional to 8.93, 12.33 and 6.86 is: 9.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.93 : 12.33 = 6.86 : x
  2. Step 2: Convert to fraction form
    8.93/12.33 = 6.86/x
  3. Step 3: Cross multiply
    8.93x = 12.33 × 6.86
  4. Step 4: Simplify right side
    8.93x = 84.58
  5. Step 5: Solve for x
    x = 84.58/8.93
  6. Step 6: Final answer
    x = 9.47

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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.