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Finding the Fourth Proportional to 9,843.24, 14,761.92 and 3,601.80

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Solution

The fourth proportional to 9,843.24, 14,761.92 and 3,601.80 is: 5,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.24 : 14,761.92 = 3,601.80 : x
  2. Step 2: Convert to fraction form
    9,843.24/14,761.92 = 3,601.80/x
  3. Step 3: Cross multiply
    9,843.24x = 14,761.92 × 3,601.80
  4. Step 4: Simplify right side
    9,843.24x = 53,169,486.83
  5. Step 5: Solve for x
    x = 53,169,486.83/9,843.24
  6. Step 6: Final answer
    x = 5,401.63

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