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Finding the Fourth Proportional to 9,414.68, 12,992.26 and 5,222.93

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Solution

The fourth proportional to 9,414.68, 12,992.26 and 5,222.93 is: 7,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.68 : 12,992.26 = 5,222.93 : x
  2. Step 2: Convert to fraction form
    9,414.68/12,992.26 = 5,222.93/x
  3. Step 3: Cross multiply
    9,414.68x = 12,992.26 × 5,222.93
  4. Step 4: Simplify right side
    9,414.68x = 67,857,645.10
  5. Step 5: Solve for x
    x = 67,857,645.10/9,414.68
  6. Step 6: Final answer
    x = 7,207.64

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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.