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Finding the Fourth Proportional to 6,824.76, 9,418.08 and 3,840.60

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Solution

The fourth proportional to 6,824.76, 9,418.08 and 3,840.60 is: 5,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.76 : 9,418.08 = 3,840.60 : x
  2. Step 2: Convert to fraction form
    6,824.76/9,418.08 = 3,840.60/x
  3. Step 3: Cross multiply
    6,824.76x = 9,418.08 × 3,840.60
  4. Step 4: Simplify right side
    6,824.76x = 36,171,078.05
  5. Step 5: Solve for x
    x = 36,171,078.05/6,824.76
  6. Step 6: Final answer
    x = 5,299.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.