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Finding the Fourth Proportional to 9.16, 12.64 and 6.43

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Solution

The fourth proportional to 9.16, 12.64 and 6.43 is: 8.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.16 : 12.64 = 6.43 : x
  2. Step 2: Convert to fraction form
    9.16/12.64 = 6.43/x
  3. Step 3: Cross multiply
    9.16x = 12.64 × 6.43
  4. Step 4: Simplify right side
    9.16x = 81.28
  5. Step 5: Solve for x
    x = 81.28/9.16
  6. Step 6: Final answer
    x = 8.87

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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.