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Finding the Fourth Proportional to 6,002.39, 9,005.11 and 1,842.61

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Solution

The fourth proportional to 6,002.39, 9,005.11 and 1,842.61 is: 2,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.39 : 9,005.11 = 1,842.61 : x
  2. Step 2: Convert to fraction form
    6,002.39/9,005.11 = 1,842.61/x
  3. Step 3: Cross multiply
    6,002.39x = 9,005.11 × 1,842.61
  4. Step 4: Simplify right side
    6,002.39x = 16,592,896.52
  5. Step 5: Solve for x
    x = 16,592,896.52/6,002.39
  6. Step 6: Final answer
    x = 2,764.38

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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.