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Finding the Fourth Proportional to 9.42, 13 and 6.34

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Solution

The fourth proportional to 9.42, 13 and 6.34 is: 8.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 13 = 6.34 : x
  2. Step 2: Convert to fraction form
    9.42/13 = 6.34/x
  3. Step 3: Cross multiply
    9.42x = 13 × 6.34
  4. Step 4: Simplify right side
    9.42x = 82.42
  5. Step 5: Solve for x
    x = 82.42/9.42
  6. Step 6: Final answer
    x = 8.75

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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.