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Finding the Fourth Proportional to 7,163.32, 9,885.22 and 3,976.43

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Solution

The fourth proportional to 7,163.32, 9,885.22 and 3,976.43 is: 5,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.32 : 9,885.22 = 3,976.43 : x
  2. Step 2: Convert to fraction form
    7,163.32/9,885.22 = 3,976.43/x
  3. Step 3: Cross multiply
    7,163.32x = 9,885.22 × 3,976.43
  4. Step 4: Simplify right side
    7,163.32x = 39,307,885.36
  5. Step 5: Solve for x
    x = 39,307,885.36/7,163.32
  6. Step 6: Final answer
    x = 5,487.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.