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Finding the Fourth Proportional to 8,967.38, 13,453.22 and 2,811.38

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Solution

The fourth proportional to 8,967.38, 13,453.22 and 2,811.38 is: 4,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.38 : 13,453.22 = 2,811.38 : x
  2. Step 2: Convert to fraction form
    8,967.38/13,453.22 = 2,811.38/x
  3. Step 3: Cross multiply
    8,967.38x = 13,453.22 × 2,811.38
  4. Step 4: Simplify right side
    8,967.38x = 37,822,113.64
  5. Step 5: Solve for x
    x = 37,822,113.64/8,967.38
  6. Step 6: Final answer
    x = 4,217.74

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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.