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Finding the Fourth Proportional to 6,002.27, 9,004.92 and 1,842.49

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Solution

The fourth proportional to 6,002.27, 9,004.92 and 1,842.49 is: 2,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.27 : 9,004.92 = 1,842.49 : x
  2. Step 2: Convert to fraction form
    6,002.27/9,004.92 = 1,842.49/x
  3. Step 3: Cross multiply
    6,002.27x = 9,004.92 × 1,842.49
  4. Step 4: Simplify right side
    6,002.27x = 16,591,430.03
  5. Step 5: Solve for x
    x = 16,591,430.03/6,002.27
  6. Step 6: Final answer
    x = 2,764.19

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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.