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Finding the Fourth Proportional to 9,311.92, 12,850.32 and 5,120.44

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Solution

The fourth proportional to 9,311.92, 12,850.32 and 5,120.44 is: 7,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.92 : 12,850.32 = 5,120.44 : x
  2. Step 2: Convert to fraction form
    9,311.92/12,850.32 = 5,120.44/x
  3. Step 3: Cross multiply
    9,311.92x = 12,850.32 × 5,120.44
  4. Step 4: Simplify right side
    9,311.92x = 65,799,292.54
  5. Step 5: Solve for x
    x = 65,799,292.54/9,311.92
  6. Step 6: Final answer
    x = 7,066.14

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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.