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Finding the Fourth Proportional to 9,228.70, 13,836.34 and 3,680.38

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Solution

The fourth proportional to 9,228.70, 13,836.34 and 3,680.38 is: 5,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.70 : 13,836.34 = 3,680.38 : x
  2. Step 2: Convert to fraction form
    9,228.70/13,836.34 = 3,680.38/x
  3. Step 3: Cross multiply
    9,228.70x = 13,836.34 × 3,680.38
  4. Step 4: Simplify right side
    9,228.70x = 50,922,989.01
  5. Step 5: Solve for x
    x = 50,922,989.01/9,228.70
  6. Step 6: Final answer
    x = 5,517.89

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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.