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Finding the Fourth Proportional to 9,559.20, 13,198.19 and 5,975.55

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Solution

The fourth proportional to 9,559.20, 13,198.19 and 5,975.55 is: 8,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.20 : 13,198.19 = 5,975.55 : x
  2. Step 2: Convert to fraction form
    9,559.20/13,198.19 = 5,975.55/x
  3. Step 3: Cross multiply
    9,559.20x = 13,198.19 × 5,975.55
  4. Step 4: Simplify right side
    9,559.20x = 78,866,414.38
  5. Step 5: Solve for x
    x = 78,866,414.38/9,559.20
  6. Step 6: Final answer
    x = 8,250.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.