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Finding the Fourth Proportional to 6,766.88, 9,335.38 and 3,934.04

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Solution

The fourth proportional to 6,766.88, 9,335.38 and 3,934.04 is: 5,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.88 : 9,335.38 = 3,934.04 : x
  2. Step 2: Convert to fraction form
    6,766.88/9,335.38 = 3,934.04/x
  3. Step 3: Cross multiply
    6,766.88x = 9,335.38 × 3,934.04
  4. Step 4: Simplify right side
    6,766.88x = 36,725,758.34
  5. Step 5: Solve for x
    x = 36,725,758.34/6,766.88
  6. Step 6: Final answer
    x = 5,427.28

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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.