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Finding the Fourth Proportional to 6,763.72, 9,335.38 and 3,969.80

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Solution

The fourth proportional to 6,763.72, 9,335.38 and 3,969.80 is: 5,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.72 : 9,335.38 = 3,969.80 : x
  2. Step 2: Convert to fraction form
    6,763.72/9,335.38 = 3,969.80/x
  3. Step 3: Cross multiply
    6,763.72x = 9,335.38 × 3,969.80
  4. Step 4: Simplify right side
    6,763.72x = 37,059,591.52
  5. Step 5: Solve for x
    x = 37,059,591.52/6,763.72
  6. Step 6: Final answer
    x = 5,479.17

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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.