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Finding the Fourth Proportional to 6,324.63, 9,483.81 and 2,163.46

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Solution

The fourth proportional to 6,324.63, 9,483.81 and 2,163.46 is: 3,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.63 : 9,483.81 = 2,163.46 : x
  2. Step 2: Convert to fraction form
    6,324.63/9,483.81 = 2,163.46/x
  3. Step 3: Cross multiply
    6,324.63x = 9,483.81 × 2,163.46
  4. Step 4: Simplify right side
    6,324.63x = 20,517,843.58
  5. Step 5: Solve for x
    x = 20,517,843.58/6,324.63
  6. Step 6: Final answer
    x = 3,244.12

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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.