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Finding the Fourth Proportional to 9,194.50, 13,791.89 and 2,269

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Solution

The fourth proportional to 9,194.50, 13,791.89 and 2,269 is: 3,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.50 : 13,791.89 = 2,269 : x
  2. Step 2: Convert to fraction form
    9,194.50/13,791.89 = 2,269/x
  3. Step 3: Cross multiply
    9,194.50x = 13,791.89 × 2,269
  4. Step 4: Simplify right side
    9,194.50x = 31,293,798.41
  5. Step 5: Solve for x
    x = 31,293,798.41/9,194.50
  6. Step 6: Final answer
    x = 3,403.53

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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.