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Finding the Fourth Proportional to 6,197.40, 9,290.06 and 2,034.54

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Solution

The fourth proportional to 6,197.40, 9,290.06 and 2,034.54 is: 3,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.40 : 9,290.06 = 2,034.54 : x
  2. Step 2: Convert to fraction form
    6,197.40/9,290.06 = 2,034.54/x
  3. Step 3: Cross multiply
    6,197.40x = 9,290.06 × 2,034.54
  4. Step 4: Simplify right side
    6,197.40x = 18,900,998.67
  5. Step 5: Solve for x
    x = 18,900,998.67/6,197.40
  6. Step 6: Final answer
    x = 3,049.83

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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.