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Finding the Fourth Proportional to 6,805.27, 9,390.82 and 3,972.21

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Solution

The fourth proportional to 6,805.27, 9,390.82 and 3,972.21 is: 5,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.27 : 9,390.82 = 3,972.21 : x
  2. Step 2: Convert to fraction form
    6,805.27/9,390.82 = 3,972.21/x
  3. Step 3: Cross multiply
    6,805.27x = 9,390.82 × 3,972.21
  4. Step 4: Simplify right side
    6,805.27x = 37,302,278.86
  5. Step 5: Solve for x
    x = 37,302,278.86/6,805.27
  6. Step 6: Final answer
    x = 5,481.38

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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.