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Finding the Fourth Proportional to 9,351.92, 12,906.23 and 5,318.98

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Solution

The fourth proportional to 9,351.92, 12,906.23 and 5,318.98 is: 7,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.92 : 12,906.23 = 5,318.98 : x
  2. Step 2: Convert to fraction form
    9,351.92/12,906.23 = 5,318.98/x
  3. Step 3: Cross multiply
    9,351.92x = 12,906.23 × 5,318.98
  4. Step 4: Simplify right side
    9,351.92x = 68,647,979.25
  5. Step 5: Solve for x
    x = 68,647,979.25/9,351.92
  6. Step 6: Final answer
    x = 7,340.52

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Why These Related Problems?

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