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Finding the Fourth Proportional to 9,067.24, 12,515.94 and 5,341

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Solution

The fourth proportional to 9,067.24, 12,515.94 and 5,341 is: 7,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.24 : 12,515.94 = 5,341 : x
  2. Step 2: Convert to fraction form
    9,067.24/12,515.94 = 5,341/x
  3. Step 3: Cross multiply
    9,067.24x = 12,515.94 × 5,341
  4. Step 4: Simplify right side
    9,067.24x = 66,847,635.54
  5. Step 5: Solve for x
    x = 66,847,635.54/9,067.24
  6. Step 6: Final answer
    x = 7,372.43

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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.