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Finding the Fourth Proportional to 6,105.67, 9,143.57 and 5,514.03

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Solution

The fourth proportional to 6,105.67, 9,143.57 and 5,514.03 is: 8,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.67 : 9,143.57 = 5,514.03 : x
  2. Step 2: Convert to fraction form
    6,105.67/9,143.57 = 5,514.03/x
  3. Step 3: Cross multiply
    6,105.67x = 9,143.57 × 5,514.03
  4. Step 4: Simplify right side
    6,105.67x = 50,417,933.07
  5. Step 5: Solve for x
    x = 50,417,933.07/6,105.67
  6. Step 6: Final answer
    x = 8,257.56

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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.