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Finding the Fourth Proportional to 9,732.44, 14,604.22 and 3,809.82

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Solution

The fourth proportional to 9,732.44, 14,604.22 and 3,809.82 is: 5,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.44 : 14,604.22 = 3,809.82 : x
  2. Step 2: Convert to fraction form
    9,732.44/14,604.22 = 3,809.82/x
  3. Step 3: Cross multiply
    9,732.44x = 14,604.22 × 3,809.82
  4. Step 4: Simplify right side
    9,732.44x = 55,639,449.44
  5. Step 5: Solve for x
    x = 55,639,449.44/9,732.44
  6. Step 6: Final answer
    x = 5,716.91

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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.