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Finding the Fourth Proportional to 9,226.14, 13,840.02 and 3,961.40

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Solution

The fourth proportional to 9,226.14, 13,840.02 and 3,961.40 is: 5,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.14 : 13,840.02 = 3,961.40 : x
  2. Step 2: Convert to fraction form
    9,226.14/13,840.02 = 3,961.40/x
  3. Step 3: Cross multiply
    9,226.14x = 13,840.02 × 3,961.40
  4. Step 4: Simplify right side
    9,226.14x = 54,825,855.23
  5. Step 5: Solve for x
    x = 54,825,855.23/9,226.14
  6. Step 6: Final answer
    x = 5,942.45

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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.