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Finding the Fourth Proportional to 7,073.25, 9,761.40 and 3,929.43

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Solution

The fourth proportional to 7,073.25, 9,761.40 and 3,929.43 is: 5,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.25 : 9,761.40 = 3,929.43 : x
  2. Step 2: Convert to fraction form
    7,073.25/9,761.40 = 3,929.43/x
  3. Step 3: Cross multiply
    7,073.25x = 9,761.40 × 3,929.43
  4. Step 4: Simplify right side
    7,073.25x = 38,356,738.00
  5. Step 5: Solve for x
    x = 38,356,738.00/7,073.25
  6. Step 6: Final answer
    x = 5,422.79

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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.