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Finding the Fourth Proportional to 9.14, 12.56 and 8.46

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Solution

The fourth proportional to 9.14, 12.56 and 8.46 is: 11.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.14 : 12.56 = 8.46 : x
  2. Step 2: Convert to fraction form
    9.14/12.56 = 8.46/x
  3. Step 3: Cross multiply
    9.14x = 12.56 × 8.46
  4. Step 4: Simplify right side
    9.14x = 106.26
  5. Step 5: Solve for x
    x = 106.26/9.14
  6. Step 6: Final answer
    x = 11.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.