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Finding the Fourth Proportional to 9,067.75, 13,599.80 and 2,826.75

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Solution

The fourth proportional to 9,067.75, 13,599.80 and 2,826.75 is: 4,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.75 : 13,599.80 = 2,826.75 : x
  2. Step 2: Convert to fraction form
    9,067.75/13,599.80 = 2,826.75/x
  3. Step 3: Cross multiply
    9,067.75x = 13,599.80 × 2,826.75
  4. Step 4: Simplify right side
    9,067.75x = 38,443,205.62
  5. Step 5: Solve for x
    x = 38,443,205.62/9,067.75
  6. Step 6: Final answer
    x = 4,239.55

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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.