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Finding the Fourth Proportional to 9,286.84, 13,912.03 and 5,383.05

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Solution

The fourth proportional to 9,286.84, 13,912.03 and 5,383.05 is: 8,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.84 : 13,912.03 = 5,383.05 : x
  2. Step 2: Convert to fraction form
    9,286.84/13,912.03 = 5,383.05/x
  3. Step 3: Cross multiply
    9,286.84x = 13,912.03 × 5,383.05
  4. Step 4: Simplify right side
    9,286.84x = 74,889,153.09
  5. Step 5: Solve for x
    x = 74,889,153.09/9,286.84
  6. Step 6: Final answer
    x = 8,064.01

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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.