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Finding the Fourth Proportional to 9,311.68, 12,850.14 and 5,120.20

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Solution

The fourth proportional to 9,311.68, 12,850.14 and 5,120.20 is: 7,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.68 : 12,850.14 = 5,120.20 : x
  2. Step 2: Convert to fraction form
    9,311.68/12,850.14 = 5,120.20/x
  3. Step 3: Cross multiply
    9,311.68x = 12,850.14 × 5,120.20
  4. Step 4: Simplify right side
    9,311.68x = 65,795,286.83
  5. Step 5: Solve for x
    x = 65,795,286.83/9,311.68
  6. Step 6: Final answer
    x = 7,065.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.