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Finding the Fourth Proportional to 6,340.75, 9,511.17 and 1,958.20

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Solution

The fourth proportional to 6,340.75, 9,511.17 and 1,958.20 is: 2,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.75 : 9,511.17 = 1,958.20 : x
  2. Step 2: Convert to fraction form
    6,340.75/9,511.17 = 1,958.20/x
  3. Step 3: Cross multiply
    6,340.75x = 9,511.17 × 1,958.20
  4. Step 4: Simplify right side
    6,340.75x = 18,624,773.09
  5. Step 5: Solve for x
    x = 18,624,773.09/6,340.75
  6. Step 6: Final answer
    x = 2,937.31

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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.