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Finding the Fourth Proportional to 9,023.38, 12,455.64 and 6,791.69

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Solution

The fourth proportional to 9,023.38, 12,455.64 and 6,791.69 is: 9,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.38 : 12,455.64 = 6,791.69 : x
  2. Step 2: Convert to fraction form
    9,023.38/12,455.64 = 6,791.69/x
  3. Step 3: Cross multiply
    9,023.38x = 12,455.64 × 6,791.69
  4. Step 4: Simplify right side
    9,023.38x = 84,594,811.67
  5. Step 5: Solve for x
    x = 84,594,811.67/9,023.38
  6. Step 6: Final answer
    x = 9,375.07

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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.