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Finding the Fourth Proportional to 9,414.52, 12,992.10 and 5,222.84

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Solution

The fourth proportional to 9,414.52, 12,992.10 and 5,222.84 is: 7,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.52 : 12,992.10 = 5,222.84 : x
  2. Step 2: Convert to fraction form
    9,414.52/12,992.10 = 5,222.84/x
  3. Step 3: Cross multiply
    9,414.52x = 12,992.10 × 5,222.84
  4. Step 4: Simplify right side
    9,414.52x = 67,855,659.56
  5. Step 5: Solve for x
    x = 67,855,659.56/9,414.52
  6. Step 6: Final answer
    x = 7,207.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.