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Finding the Fourth Proportional to 9,230.78, 12,738.31 and 5,251.80

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Solution

The fourth proportional to 9,230.78, 12,738.31 and 5,251.80 is: 7,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.78 : 12,738.31 = 5,251.80 : x
  2. Step 2: Convert to fraction form
    9,230.78/12,738.31 = 5,251.80/x
  3. Step 3: Cross multiply
    9,230.78x = 12,738.31 × 5,251.80
  4. Step 4: Simplify right side
    9,230.78x = 66,899,030.20
  5. Step 5: Solve for x
    x = 66,899,030.20/9,230.78
  6. Step 6: Final answer
    x = 7,247.39

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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.