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Finding the Fourth Proportional to 9,640.84, 14,462.42 and 3,399.56

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Solution

The fourth proportional to 9,640.84, 14,462.42 and 3,399.56 is: 5,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.84 : 14,462.42 = 3,399.56 : x
  2. Step 2: Convert to fraction form
    9,640.84/14,462.42 = 3,399.56/x
  3. Step 3: Cross multiply
    9,640.84x = 14,462.42 × 3,399.56
  4. Step 4: Simplify right side
    9,640.84x = 49,165,883.69
  5. Step 5: Solve for x
    x = 49,165,883.69/9,640.84
  6. Step 6: Final answer
    x = 5,099.75

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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.