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Finding the Fourth Proportional to 6,002.30, 9,003.51 and 1,842.33

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Solution

The fourth proportional to 6,002.30, 9,003.51 and 1,842.33 is: 2,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.30 : 9,003.51 = 1,842.33 : x
  2. Step 2: Convert to fraction form
    6,002.30/9,003.51 = 1,842.33/x
  3. Step 3: Cross multiply
    6,002.30x = 9,003.51 × 1,842.33
  4. Step 4: Simplify right side
    6,002.30x = 16,587,436.58
  5. Step 5: Solve for x
    x = 16,587,436.58/6,002.30
  6. Step 6: Final answer
    x = 2,763.51

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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.