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Finding the Fourth Proportional to 9,414.24, 12,992.76 and 5,222.76

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Solution

The fourth proportional to 9,414.24, 12,992.76 and 5,222.76 is: 7,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.24 : 12,992.76 = 5,222.76 : x
  2. Step 2: Convert to fraction form
    9,414.24/12,992.76 = 5,222.76/x
  3. Step 3: Cross multiply
    9,414.24x = 12,992.76 × 5,222.76
  4. Step 4: Simplify right side
    9,414.24x = 67,858,067.22
  5. Step 5: Solve for x
    x = 67,858,067.22/9,414.24
  6. Step 6: Final answer
    x = 7,208.02

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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.