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Finding the Fourth Proportional to 9,311.92, 12,850.20 and 5,119.60

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Solution

The fourth proportional to 9,311.92, 12,850.20 and 5,119.60 is: 7,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.92 : 12,850.20 = 5,119.60 : x
  2. Step 2: Convert to fraction form
    9,311.92/12,850.20 = 5,119.60/x
  3. Step 3: Cross multiply
    9,311.92x = 12,850.20 × 5,119.60
  4. Step 4: Simplify right side
    9,311.92x = 65,787,883.92
  5. Step 5: Solve for x
    x = 65,787,883.92/9,311.92
  6. Step 6: Final answer
    x = 7,064.91

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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.