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Finding the Fourth Proportional to 9,230.28, 12,738.84 and 5,252

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Solution

The fourth proportional to 9,230.28, 12,738.84 and 5,252 is: 7,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.28 : 12,738.84 = 5,252 : x
  2. Step 2: Convert to fraction form
    9,230.28/12,738.84 = 5,252/x
  3. Step 3: Cross multiply
    9,230.28x = 12,738.84 × 5,252
  4. Step 4: Simplify right side
    9,230.28x = 66,904,387.68
  5. Step 5: Solve for x
    x = 66,904,387.68/9,230.28
  6. Step 6: Final answer
    x = 7,248.36

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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.