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Finding the Fourth Proportional to 9.34, 13.97 and 7.83

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Solution

The fourth proportional to 9.34, 13.97 and 7.83 is: 11.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.34 : 13.97 = 7.83 : x
  2. Step 2: Convert to fraction form
    9.34/13.97 = 7.83/x
  3. Step 3: Cross multiply
    9.34x = 13.97 × 7.83
  4. Step 4: Simplify right side
    9.34x = 109.40
  5. Step 5: Solve for x
    x = 109.40/9.34
  6. Step 6: Final answer
    x = 11.72

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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.