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Finding the Fourth Proportional to 9,293.20, 13,940.25 and 3,745.80

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Solution

The fourth proportional to 9,293.20, 13,940.25 and 3,745.80 is: 5,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.20 : 13,940.25 = 3,745.80 : x
  2. Step 2: Convert to fraction form
    9,293.20/13,940.25 = 3,745.80/x
  3. Step 3: Cross multiply
    9,293.20x = 13,940.25 × 3,745.80
  4. Step 4: Simplify right side
    9,293.20x = 52,217,388.45
  5. Step 5: Solve for x
    x = 52,217,388.45/9,293.20
  6. Step 6: Final answer
    x = 5,618.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.