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Finding the Fourth Proportional to 6,199.32, 9,299.16 and 2,251.38

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Solution

The fourth proportional to 6,199.32, 9,299.16 and 2,251.38 is: 3,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.32 : 9,299.16 = 2,251.38 : x
  2. Step 2: Convert to fraction form
    6,199.32/9,299.16 = 2,251.38/x
  3. Step 3: Cross multiply
    6,199.32x = 9,299.16 × 2,251.38
  4. Step 4: Simplify right side
    6,199.32x = 20,935,942.84
  5. Step 5: Solve for x
    x = 20,935,942.84/6,199.32
  6. Step 6: Final answer
    x = 3,377.14

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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.