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Finding the Fourth Proportional to 6,222.69, 9,334.04 and 1,843.43

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Solution

The fourth proportional to 6,222.69, 9,334.04 and 1,843.43 is: 2,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.69 : 9,334.04 = 1,843.43 : x
  2. Step 2: Convert to fraction form
    6,222.69/9,334.04 = 1,843.43/x
  3. Step 3: Cross multiply
    6,222.69x = 9,334.04 × 1,843.43
  4. Step 4: Simplify right side
    6,222.69x = 17,206,593.47
  5. Step 5: Solve for x
    x = 17,206,593.47/6,222.69
  6. Step 6: Final answer
    x = 2,765.14

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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.