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Finding the Fourth Proportional to 9,221, 12,725.25 and 5,029.52

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Solution

The fourth proportional to 9,221, 12,725.25 and 5,029.52 is: 6,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221 : 12,725.25 = 5,029.52 : x
  2. Step 2: Convert to fraction form
    9,221/12,725.25 = 5,029.52/x
  3. Step 3: Cross multiply
    9,221x = 12,725.25 × 5,029.52
  4. Step 4: Simplify right side
    9,221x = 64,001,899.38
  5. Step 5: Solve for x
    x = 64,001,899.38/9,221
  6. Step 6: Final answer
    x = 6,940.88

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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.