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Finding the Fourth Proportional to 6,243.64, 9,362.30 and 2,082.19

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Solution

The fourth proportional to 6,243.64, 9,362.30 and 2,082.19 is: 3,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.64 : 9,362.30 = 2,082.19 : x
  2. Step 2: Convert to fraction form
    6,243.64/9,362.30 = 2,082.19/x
  3. Step 3: Cross multiply
    6,243.64x = 9,362.30 × 2,082.19
  4. Step 4: Simplify right side
    6,243.64x = 19,494,087.44
  5. Step 5: Solve for x
    x = 19,494,087.44/6,243.64
  6. Step 6: Final answer
    x = 3,122.23

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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.