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Finding the Fourth Proportional to 6,153.36, 9,229.68 and 3,229.80

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Solution

The fourth proportional to 6,153.36, 9,229.68 and 3,229.80 is: 4,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.36 : 9,229.68 = 3,229.80 : x
  2. Step 2: Convert to fraction form
    6,153.36/9,229.68 = 3,229.80/x
  3. Step 3: Cross multiply
    6,153.36x = 9,229.68 × 3,229.80
  4. Step 4: Simplify right side
    6,153.36x = 29,810,020.46
  5. Step 5: Solve for x
    x = 29,810,020.46/6,153.36
  6. Step 6: Final answer
    x = 4,844.51

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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.