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Finding the Fourth Proportional to 7,125.38, 9,832.83 and 3,981.59

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Solution

The fourth proportional to 7,125.38, 9,832.83 and 3,981.59 is: 5,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.38 : 9,832.83 = 3,981.59 : x
  2. Step 2: Convert to fraction form
    7,125.38/9,832.83 = 3,981.59/x
  3. Step 3: Cross multiply
    7,125.38x = 9,832.83 × 3,981.59
  4. Step 4: Simplify right side
    7,125.38x = 39,150,248.44
  5. Step 5: Solve for x
    x = 39,150,248.44/7,125.38
  6. Step 6: Final answer
    x = 5,494.48

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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.