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Finding the Fourth Proportional to 6,230.49, 9,324.18 and 3,857.58

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Solution

The fourth proportional to 6,230.49, 9,324.18 and 3,857.58 is: 5,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.49 : 9,324.18 = 3,857.58 : x
  2. Step 2: Convert to fraction form
    6,230.49/9,324.18 = 3,857.58/x
  3. Step 3: Cross multiply
    6,230.49x = 9,324.18 × 3,857.58
  4. Step 4: Simplify right side
    6,230.49x = 35,968,770.28
  5. Step 5: Solve for x
    x = 35,968,770.28/6,230.49
  6. Step 6: Final answer
    x = 5,773.02

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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.