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Finding the Fourth Proportional to 6,846.80, 9,449.61 and 3,862.91

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Solution

The fourth proportional to 6,846.80, 9,449.61 and 3,862.91 is: 5,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.80 : 9,449.61 = 3,862.91 : x
  2. Step 2: Convert to fraction form
    6,846.80/9,449.61 = 3,862.91/x
  3. Step 3: Cross multiply
    6,846.80x = 9,449.61 × 3,862.91
  4. Step 4: Simplify right side
    6,846.80x = 36,502,992.97
  5. Step 5: Solve for x
    x = 36,502,992.97/6,846.80
  6. Step 6: Final answer
    x = 5,331.39

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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.