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Finding the Fourth Proportional to 6,163.28, 9,200.02 and 5,385.68

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Solution

The fourth proportional to 6,163.28, 9,200.02 and 5,385.68 is: 8,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.28 : 9,200.02 = 5,385.68 : x
  2. Step 2: Convert to fraction form
    6,163.28/9,200.02 = 5,385.68/x
  3. Step 3: Cross multiply
    6,163.28x = 9,200.02 × 5,385.68
  4. Step 4: Simplify right side
    6,163.28x = 49,548,363.71
  5. Step 5: Solve for x
    x = 49,548,363.71/6,163.28
  6. Step 6: Final answer
    x = 8,039.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.