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Finding the Fourth Proportional to 9,021.24, 12,447.83 and 8,295.43

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Solution

The fourth proportional to 9,021.24, 12,447.83 and 8,295.43 is: 11,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.24 : 12,447.83 = 8,295.43 : x
  2. Step 2: Convert to fraction form
    9,021.24/12,447.83 = 8,295.43/x
  3. Step 3: Cross multiply
    9,021.24x = 12,447.83 × 8,295.43
  4. Step 4: Simplify right side
    9,021.24x = 103,260,115.38
  5. Step 5: Solve for x
    x = 103,260,115.38/9,021.24
  6. Step 6: Final answer
    x = 11,446.33

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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.