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Finding the Fourth Proportional to 9,575.38, 13,222.74 and 7,213.42

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Solution

The fourth proportional to 9,575.38, 13,222.74 and 7,213.42 is: 9,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.38 : 13,222.74 = 7,213.42 : x
  2. Step 2: Convert to fraction form
    9,575.38/13,222.74 = 7,213.42/x
  3. Step 3: Cross multiply
    9,575.38x = 13,222.74 × 7,213.42
  4. Step 4: Simplify right side
    9,575.38x = 95,381,177.17
  5. Step 5: Solve for x
    x = 95,381,177.17/9,575.38
  6. Step 6: Final answer
    x = 9,961.09

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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.