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Finding the Fourth Proportional to 6,346.14, 9,519.24 and 1,963.62

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Solution

The fourth proportional to 6,346.14, 9,519.24 and 1,963.62 is: 2,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.14 : 9,519.24 = 1,963.62 : x
  2. Step 2: Convert to fraction form
    6,346.14/9,519.24 = 1,963.62/x
  3. Step 3: Cross multiply
    6,346.14x = 9,519.24 × 1,963.62
  4. Step 4: Simplify right side
    6,346.14x = 18,692,170.05
  5. Step 5: Solve for x
    x = 18,692,170.05/6,346.14
  6. Step 6: Final answer
    x = 2,945.44

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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.