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Finding the Fourth Proportional to 9,205.66, 13,806.87 and 2,965.42

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Solution

The fourth proportional to 9,205.66, 13,806.87 and 2,965.42 is: 4,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.66 : 13,806.87 = 2,965.42 : x
  2. Step 2: Convert to fraction form
    9,205.66/13,806.87 = 2,965.42/x
  3. Step 3: Cross multiply
    9,205.66x = 13,806.87 × 2,965.42
  4. Step 4: Simplify right side
    9,205.66x = 40,943,168.44
  5. Step 5: Solve for x
    x = 40,943,168.44/9,205.66
  6. Step 6: Final answer
    x = 4,447.61

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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.