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Finding the Fourth Proportional to 9,226.69, 13,839.27 and 3,678.60

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Solution

The fourth proportional to 9,226.69, 13,839.27 and 3,678.60 is: 5,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.69 : 13,839.27 = 3,678.60 : x
  2. Step 2: Convert to fraction form
    9,226.69/13,839.27 = 3,678.60/x
  3. Step 3: Cross multiply
    9,226.69x = 13,839.27 × 3,678.60
  4. Step 4: Simplify right side
    9,226.69x = 50,909,138.62
  5. Step 5: Solve for x
    x = 50,909,138.62/9,226.69
  6. Step 6: Final answer
    x = 5,517.60

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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.