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Finding the Fourth Proportional to 9,194.40, 13,793.12 and 3,647.78

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Solution

The fourth proportional to 9,194.40, 13,793.12 and 3,647.78 is: 5,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.40 : 13,793.12 = 3,647.78 : x
  2. Step 2: Convert to fraction form
    9,194.40/13,793.12 = 3,647.78/x
  3. Step 3: Cross multiply
    9,194.40x = 13,793.12 × 3,647.78
  4. Step 4: Simplify right side
    9,194.40x = 50,314,267.27
  5. Step 5: Solve for x
    x = 50,314,267.27/9,194.40
  6. Step 6: Final answer
    x = 5,472.27

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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.