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Finding the Fourth Proportional to 6,192.36, 9,286.12 and 2,242.68

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Solution

The fourth proportional to 6,192.36, 9,286.12 and 2,242.68 is: 3,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.36 : 9,286.12 = 2,242.68 : x
  2. Step 2: Convert to fraction form
    6,192.36/9,286.12 = 2,242.68/x
  3. Step 3: Cross multiply
    6,192.36x = 9,286.12 × 2,242.68
  4. Step 4: Simplify right side
    6,192.36x = 20,825,795.60
  5. Step 5: Solve for x
    x = 20,825,795.60/6,192.36
  6. Step 6: Final answer
    x = 3,363.14

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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.