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Finding the Fourth Proportional to 7,073.13, 9,761.22 and 3,929.32

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Solution

The fourth proportional to 7,073.13, 9,761.22 and 3,929.32 is: 5,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.13 : 9,761.22 = 3,929.32 : x
  2. Step 2: Convert to fraction form
    7,073.13/9,761.22 = 3,929.32/x
  3. Step 3: Cross multiply
    7,073.13x = 9,761.22 × 3,929.32
  4. Step 4: Simplify right side
    7,073.13x = 38,354,908.16
  5. Step 5: Solve for x
    x = 38,354,908.16/7,073.13
  6. Step 6: Final answer
    x = 5,422.63

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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.