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Finding the Fourth Proportional to 6,094.32, 9,142.85 and 2,198.73

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Solution

The fourth proportional to 6,094.32, 9,142.85 and 2,198.73 is: 3,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.32 : 9,142.85 = 2,198.73 : x
  2. Step 2: Convert to fraction form
    6,094.32/9,142.85 = 2,198.73/x
  3. Step 3: Cross multiply
    6,094.32x = 9,142.85 × 2,198.73
  4. Step 4: Simplify right side
    6,094.32x = 20,102,664.08
  5. Step 5: Solve for x
    x = 20,102,664.08/6,094.32
  6. Step 6: Final answer
    x = 3,298.59

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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.