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Finding the Fourth Proportional to 9,974.34, 13,761.09 and 5,992.38

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Solution

The fourth proportional to 9,974.34, 13,761.09 and 5,992.38 is: 8,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.34 : 13,761.09 = 5,992.38 : x
  2. Step 2: Convert to fraction form
    9,974.34/13,761.09 = 5,992.38/x
  3. Step 3: Cross multiply
    9,974.34x = 13,761.09 × 5,992.38
  4. Step 4: Simplify right side
    9,974.34x = 82,461,680.49
  5. Step 5: Solve for x
    x = 82,461,680.49/9,974.34
  6. Step 6: Final answer
    x = 8,267.38

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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.