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Finding the Fourth Proportional to 9,214.05, 13,806.24 and 5,514.54

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Solution

The fourth proportional to 9,214.05, 13,806.24 and 5,514.54 is: 8,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.05 : 13,806.24 = 5,514.54 : x
  2. Step 2: Convert to fraction form
    9,214.05/13,806.24 = 5,514.54/x
  3. Step 3: Cross multiply
    9,214.05x = 13,806.24 × 5,514.54
  4. Step 4: Simplify right side
    9,214.05x = 76,135,062.73
  5. Step 5: Solve for x
    x = 76,135,062.73/9,214.05
  6. Step 6: Final answer
    x = 8,262.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.