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Finding the Fourth Proportional to 6,205.02, 9,310.73 and 2,744.70

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Solution

The fourth proportional to 6,205.02, 9,310.73 and 2,744.70 is: 4,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.02 : 9,310.73 = 2,744.70 : x
  2. Step 2: Convert to fraction form
    6,205.02/9,310.73 = 2,744.70/x
  3. Step 3: Cross multiply
    6,205.02x = 9,310.73 × 2,744.70
  4. Step 4: Simplify right side
    6,205.02x = 25,555,160.63
  5. Step 5: Solve for x
    x = 25,555,160.63/6,205.02
  6. Step 6: Final answer
    x = 4,118.47

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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.