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Finding the Fourth Proportional to 6,220.82, 9,331.16 and 1,838.21

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Solution

The fourth proportional to 6,220.82, 9,331.16 and 1,838.21 is: 2,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.82 : 9,331.16 = 1,838.21 : x
  2. Step 2: Convert to fraction form
    6,220.82/9,331.16 = 1,838.21/x
  3. Step 3: Cross multiply
    6,220.82x = 9,331.16 × 1,838.21
  4. Step 4: Simplify right side
    6,220.82x = 17,152,575.78
  5. Step 5: Solve for x
    x = 17,152,575.78/6,220.82
  6. Step 6: Final answer
    x = 2,757.28

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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.