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Finding the Fourth Proportional to 8,219.37, 12,336.38 and 3,839.30

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Solution

The fourth proportional to 8,219.37, 12,336.38 and 3,839.30 is: 5,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.37 : 12,336.38 = 3,839.30 : x
  2. Step 2: Convert to fraction form
    8,219.37/12,336.38 = 3,839.30/x
  3. Step 3: Cross multiply
    8,219.37x = 12,336.38 × 3,839.30
  4. Step 4: Simplify right side
    8,219.37x = 47,362,982.86
  5. Step 5: Solve for x
    x = 47,362,982.86/8,219.37
  6. Step 6: Final answer
    x = 5,762.36

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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.