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Finding the Fourth Proportional to 6,286.69, 9,422.13 and 5,504.83

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Solution

The fourth proportional to 6,286.69, 9,422.13 and 5,504.83 is: 8,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.69 : 9,422.13 = 5,504.83 : x
  2. Step 2: Convert to fraction form
    6,286.69/9,422.13 = 5,504.83/x
  3. Step 3: Cross multiply
    6,286.69x = 9,422.13 × 5,504.83
  4. Step 4: Simplify right side
    6,286.69x = 51,867,223.89
  5. Step 5: Solve for x
    x = 51,867,223.89/6,286.69
  6. Step 6: Final answer
    x = 8,250.32

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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.