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Finding the Fourth Proportional to 6,937.39, 9,573.42 and 3,793.38

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Solution

The fourth proportional to 6,937.39, 9,573.42 and 3,793.38 is: 5,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.39 : 9,573.42 = 3,793.38 : x
  2. Step 2: Convert to fraction form
    6,937.39/9,573.42 = 3,793.38/x
  3. Step 3: Cross multiply
    6,937.39x = 9,573.42 × 3,793.38
  4. Step 4: Simplify right side
    6,937.39x = 36,315,619.96
  5. Step 5: Solve for x
    x = 36,315,619.96/6,937.39
  6. Step 6: Final answer
    x = 5,234.77

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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.