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Finding the Fourth Proportional to 9,296.38, 12,824.82 and 5,519.70

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Solution

The fourth proportional to 9,296.38, 12,824.82 and 5,519.70 is: 7,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.38 : 12,824.82 = 5,519.70 : x
  2. Step 2: Convert to fraction form
    9,296.38/12,824.82 = 5,519.70/x
  3. Step 3: Cross multiply
    9,296.38x = 12,824.82 × 5,519.70
  4. Step 4: Simplify right side
    9,296.38x = 70,789,158.95
  5. Step 5: Solve for x
    x = 70,789,158.95/9,296.38
  6. Step 6: Final answer
    x = 7,614.70

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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.