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Finding the Fourth Proportional to 6,323.27, 9,486.02 and 2,162.30

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Solution

The fourth proportional to 6,323.27, 9,486.02 and 2,162.30 is: 3,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.27 : 9,486.02 = 2,162.30 : x
  2. Step 2: Convert to fraction form
    6,323.27/9,486.02 = 2,162.30/x
  3. Step 3: Cross multiply
    6,323.27x = 9,486.02 × 2,162.30
  4. Step 4: Simplify right side
    6,323.27x = 20,511,650.17
  5. Step 5: Solve for x
    x = 20,511,650.17/6,323.27
  6. Step 6: Final answer
    x = 3,243.83

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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.