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Finding the Fourth Proportional to 6,601.14, 9,902.81 and 2,441.16

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Solution

The fourth proportional to 6,601.14, 9,902.81 and 2,441.16 is: 3,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.14 : 9,902.81 = 2,441.16 : x
  2. Step 2: Convert to fraction form
    6,601.14/9,902.81 = 2,441.16/x
  3. Step 3: Cross multiply
    6,601.14x = 9,902.81 × 2,441.16
  4. Step 4: Simplify right side
    6,601.14x = 24,174,331.45
  5. Step 5: Solve for x
    x = 24,174,331.45/6,601.14
  6. Step 6: Final answer
    x = 3,662.14

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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.