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Finding the Fourth Proportional to 6,094.57, 9,143.23 and 2,198.98

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Solution

The fourth proportional to 6,094.57, 9,143.23 and 2,198.98 is: 3,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.57 : 9,143.23 = 2,198.98 : x
  2. Step 2: Convert to fraction form
    6,094.57/9,143.23 = 2,198.98/x
  3. Step 3: Cross multiply
    6,094.57x = 9,143.23 × 2,198.98
  4. Step 4: Simplify right side
    6,094.57x = 20,105,723.19
  5. Step 5: Solve for x
    x = 20,105,723.19/6,094.57
  6. Step 6: Final answer
    x = 3,298.96

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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.