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Finding the Fourth Proportional to 9,091.50, 13,640.75 and 3,548.78

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Solution

The fourth proportional to 9,091.50, 13,640.75 and 3,548.78 is: 5,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.50 : 13,640.75 = 3,548.78 : x
  2. Step 2: Convert to fraction form
    9,091.50/13,640.75 = 3,548.78/x
  3. Step 3: Cross multiply
    9,091.50x = 13,640.75 × 3,548.78
  4. Step 4: Simplify right side
    9,091.50x = 48,407,934.84
  5. Step 5: Solve for x
    x = 48,407,934.84/9,091.50
  6. Step 6: Final answer
    x = 5,324.53

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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.