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Finding the Fourth Proportional to 9,169.74, 13,755.20 and 2,596.41

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Solution

The fourth proportional to 9,169.74, 13,755.20 and 2,596.41 is: 3,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.74 : 13,755.20 = 2,596.41 : x
  2. Step 2: Convert to fraction form
    9,169.74/13,755.20 = 2,596.41/x
  3. Step 3: Cross multiply
    9,169.74x = 13,755.20 × 2,596.41
  4. Step 4: Simplify right side
    9,169.74x = 35,714,125.85
  5. Step 5: Solve for x
    x = 35,714,125.85/9,169.74
  6. Step 6: Final answer
    x = 3,894.78

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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.