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Finding the Fourth Proportional to 7,169.46, 9,892.85 and 3,982.52

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Solution

The fourth proportional to 7,169.46, 9,892.85 and 3,982.52 is: 5,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.46 : 9,892.85 = 3,982.52 : x
  2. Step 2: Convert to fraction form
    7,169.46/9,892.85 = 3,982.52/x
  3. Step 3: Cross multiply
    7,169.46x = 9,892.85 × 3,982.52
  4. Step 4: Simplify right side
    7,169.46x = 39,398,403.61
  5. Step 5: Solve for x
    x = 39,398,403.61/7,169.46
  6. Step 6: Final answer
    x = 5,495.31

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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.