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Finding the Fourth Proportional to 9,085.97, 12,542.99 and 6,103.96

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Solution

The fourth proportional to 9,085.97, 12,542.99 and 6,103.96 is: 8,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.97 : 12,542.99 = 6,103.96 : x
  2. Step 2: Convert to fraction form
    9,085.97/12,542.99 = 6,103.96/x
  3. Step 3: Cross multiply
    9,085.97x = 12,542.99 × 6,103.96
  4. Step 4: Simplify right side
    9,085.97x = 76,561,847.36
  5. Step 5: Solve for x
    x = 76,561,847.36/9,085.97
  6. Step 6: Final answer
    x = 8,426.38

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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.