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Finding the Fourth Proportional to 9,163.81, 12,638.82 and 6,332.23

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Solution

The fourth proportional to 9,163.81, 12,638.82 and 6,332.23 is: 8,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.81 : 12,638.82 = 6,332.23 : x
  2. Step 2: Convert to fraction form
    9,163.81/12,638.82 = 6,332.23/x
  3. Step 3: Cross multiply
    9,163.81x = 12,638.82 × 6,332.23
  4. Step 4: Simplify right side
    9,163.81x = 80,031,915.17
  5. Step 5: Solve for x
    x = 80,031,915.17/9,163.81
  6. Step 6: Final answer
    x = 8,733.48

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