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Finding the Fourth Proportional to 6,583.26, 9,862.13 and 3,299.12

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Solution

The fourth proportional to 6,583.26, 9,862.13 and 3,299.12 is: 4,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.26 : 9,862.13 = 3,299.12 : x
  2. Step 2: Convert to fraction form
    6,583.26/9,862.13 = 3,299.12/x
  3. Step 3: Cross multiply
    6,583.26x = 9,862.13 × 3,299.12
  4. Step 4: Simplify right side
    6,583.26x = 32,536,350.33
  5. Step 5: Solve for x
    x = 32,536,350.33/6,583.26
  6. Step 6: Final answer
    x = 4,942.29

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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.