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Finding the Fourth Proportional to 9,198.31, 13,797.97 and 2,623.97

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Solution

The fourth proportional to 9,198.31, 13,797.97 and 2,623.97 is: 3,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.31 : 13,797.97 = 2,623.97 : x
  2. Step 2: Convert to fraction form
    9,198.31/13,797.97 = 2,623.97/x
  3. Step 3: Cross multiply
    9,198.31x = 13,797.97 × 2,623.97
  4. Step 4: Simplify right side
    9,198.31x = 36,205,390.35
  5. Step 5: Solve for x
    x = 36,205,390.35/9,198.31
  6. Step 6: Final answer
    x = 3,936.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.