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Finding the Fourth Proportional to 9,912.57, 14,858.83 and 6,217.38

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Solution

The fourth proportional to 9,912.57, 14,858.83 and 6,217.38 is: 9,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.57 : 14,858.83 = 6,217.38 : x
  2. Step 2: Convert to fraction form
    9,912.57/14,858.83 = 6,217.38/x
  3. Step 3: Cross multiply
    9,912.57x = 14,858.83 × 6,217.38
  4. Step 4: Simplify right side
    9,912.57x = 92,382,992.47
  5. Step 5: Solve for x
    x = 92,382,992.47/9,912.57
  6. Step 6: Final answer
    x = 9,319.78

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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.