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Finding the Fourth Proportional to 8,906.22, 13,354.92 and 5,209.38

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Solution

The fourth proportional to 8,906.22, 13,354.92 and 5,209.38 is: 7,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.22 : 13,354.92 = 5,209.38 : x
  2. Step 2: Convert to fraction form
    8,906.22/13,354.92 = 5,209.38/x
  3. Step 3: Cross multiply
    8,906.22x = 13,354.92 × 5,209.38
  4. Step 4: Simplify right side
    8,906.22x = 69,570,853.15
  5. Step 5: Solve for x
    x = 69,570,853.15/8,906.22
  6. Step 6: Final answer
    x = 7,811.49

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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.