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Finding the Fourth Proportional to 9,940.12, 14,910.30 and 9,415.24

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Solution

The fourth proportional to 9,940.12, 14,910.30 and 9,415.24 is: 14,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.12 : 14,910.30 = 9,415.24 : x
  2. Step 2: Convert to fraction form
    9,940.12/14,910.30 = 9,415.24/x
  3. Step 3: Cross multiply
    9,940.12x = 14,910.30 × 9,415.24
  4. Step 4: Simplify right side
    9,940.12x = 140,384,052.97
  5. Step 5: Solve for x
    x = 140,384,052.97/9,940.12
  6. Step 6: Final answer
    x = 14,122.97

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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.