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Finding the Fourth Proportional to 9,640.75, 14,462.27 and 3,399.47

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Solution

The fourth proportional to 9,640.75, 14,462.27 and 3,399.47 is: 5,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.75 : 14,462.27 = 3,399.47 : x
  2. Step 2: Convert to fraction form
    9,640.75/14,462.27 = 3,399.47/x
  3. Step 3: Cross multiply
    9,640.75x = 14,462.27 × 3,399.47
  4. Step 4: Simplify right side
    9,640.75x = 49,164,053.00
  5. Step 5: Solve for x
    x = 49,164,053.00/9,640.75
  6. Step 6: Final answer
    x = 5,099.61

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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.