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Finding the Fourth Proportional to 9,306.27, 13,956.68 and 9,211.97

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Solution

The fourth proportional to 9,306.27, 13,956.68 and 9,211.97 is: 13,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.27 : 13,956.68 = 9,211.97 : x
  2. Step 2: Convert to fraction form
    9,306.27/13,956.68 = 9,211.97/x
  3. Step 3: Cross multiply
    9,306.27x = 13,956.68 × 9,211.97
  4. Step 4: Simplify right side
    9,306.27x = 128,568,401.62
  5. Step 5: Solve for x
    x = 128,568,401.62/9,306.27
  6. Step 6: Final answer
    x = 13,815.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.