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Finding the Fourth Proportional to 6,324.77, 9,484.52 and 2,163.93

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Solution

The fourth proportional to 6,324.77, 9,484.52 and 2,163.93 is: 3,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.77 : 9,484.52 = 2,163.93 : x
  2. Step 2: Convert to fraction form
    6,324.77/9,484.52 = 2,163.93/x
  3. Step 3: Cross multiply
    6,324.77x = 9,484.52 × 2,163.93
  4. Step 4: Simplify right side
    6,324.77x = 20,523,826.54
  5. Step 5: Solve for x
    x = 20,523,826.54/6,324.77
  6. Step 6: Final answer
    x = 3,244.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.