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Finding the Fourth Proportional to 7,073.16, 9,761.27 and 3,929.34

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Solution

The fourth proportional to 7,073.16, 9,761.27 and 3,929.34 is: 5,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.16 : 9,761.27 = 3,929.34 : x
  2. Step 2: Convert to fraction form
    7,073.16/9,761.27 = 3,929.34/x
  3. Step 3: Cross multiply
    7,073.16x = 9,761.27 × 3,929.34
  4. Step 4: Simplify right side
    7,073.16x = 38,355,329.02
  5. Step 5: Solve for x
    x = 38,355,329.02/7,073.16
  6. Step 6: Final answer
    x = 5,422.66

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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.