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Finding the Fourth Proportional to 9,284.67, 12,805.38 and 8,163.27

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Solution

The fourth proportional to 9,284.67, 12,805.38 and 8,163.27 is: 11,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.67 : 12,805.38 = 8,163.27 : x
  2. Step 2: Convert to fraction form
    9,284.67/12,805.38 = 8,163.27/x
  3. Step 3: Cross multiply
    9,284.67x = 12,805.38 × 8,163.27
  4. Step 4: Simplify right side
    9,284.67x = 104,533,774.39
  5. Step 5: Solve for x
    x = 104,533,774.39/9,284.67
  6. Step 6: Final answer
    x = 11,258.75

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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.