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Finding the Fourth Proportional to 6,182.22, 9,274.80 and 2,022.24

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Solution

The fourth proportional to 6,182.22, 9,274.80 and 2,022.24 is: 3,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.22 : 9,274.80 = 2,022.24 : x
  2. Step 2: Convert to fraction form
    6,182.22/9,274.80 = 2,022.24/x
  3. Step 3: Cross multiply
    6,182.22x = 9,274.80 × 2,022.24
  4. Step 4: Simplify right side
    6,182.22x = 18,755,871.55
  5. Step 5: Solve for x
    x = 18,755,871.55/6,182.22
  6. Step 6: Final answer
    x = 3,033.84

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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.