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Finding the Fourth Proportional to 6,299.06, 9,441.68 and 2,599.38

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Solution

The fourth proportional to 6,299.06, 9,441.68 and 2,599.38 is: 3,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.06 : 9,441.68 = 2,599.38 : x
  2. Step 2: Convert to fraction form
    6,299.06/9,441.68 = 2,599.38/x
  3. Step 3: Cross multiply
    6,299.06x = 9,441.68 × 2,599.38
  4. Step 4: Simplify right side
    6,299.06x = 24,542,514.16
  5. Step 5: Solve for x
    x = 24,542,514.16/6,299.06
  6. Step 6: Final answer
    x = 3,896.22

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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.