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Finding the Fourth Proportional to 6,099.09, 9,149.24 and 2,203.80

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Solution

The fourth proportional to 6,099.09, 9,149.24 and 2,203.80 is: 3,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.09 : 9,149.24 = 2,203.80 : x
  2. Step 2: Convert to fraction form
    6,099.09/9,149.24 = 2,203.80/x
  3. Step 3: Cross multiply
    6,099.09x = 9,149.24 × 2,203.80
  4. Step 4: Simplify right side
    6,099.09x = 20,163,095.11
  5. Step 5: Solve for x
    x = 20,163,095.11/6,099.09
  6. Step 6: Final answer
    x = 3,305.92

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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.