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Finding the Fourth Proportional to 9,311.20, 13,948.05 and 4,306.52

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Solution

The fourth proportional to 9,311.20, 13,948.05 and 4,306.52 is: 6,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.20 : 13,948.05 = 4,306.52 : x
  2. Step 2: Convert to fraction form
    9,311.20/13,948.05 = 4,306.52/x
  3. Step 3: Cross multiply
    9,311.20x = 13,948.05 × 4,306.52
  4. Step 4: Simplify right side
    9,311.20x = 60,067,504.62
  5. Step 5: Solve for x
    x = 60,067,504.62/9,311.20
  6. Step 6: Final answer
    x = 6,451.10

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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.