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Finding the Fourth Proportional to 6,869.97, 9,481.98 and 3,885.93

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Solution

The fourth proportional to 6,869.97, 9,481.98 and 3,885.93 is: 5,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.97 : 9,481.98 = 3,885.93 : x
  2. Step 2: Convert to fraction form
    6,869.97/9,481.98 = 3,885.93/x
  3. Step 3: Cross multiply
    6,869.97x = 9,481.98 × 3,885.93
  4. Step 4: Simplify right side
    6,869.97x = 36,846,291.11
  5. Step 5: Solve for x
    x = 36,846,291.11/6,869.97
  6. Step 6: Final answer
    x = 5,363.38

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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.