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Finding the Fourth Proportional to 6,329.14, 9,493.68 and 2,629.30

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Solution

The fourth proportional to 6,329.14, 9,493.68 and 2,629.30 is: 3,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.14 : 9,493.68 = 2,629.30 : x
  2. Step 2: Convert to fraction form
    6,329.14/9,493.68 = 2,629.30/x
  3. Step 3: Cross multiply
    6,329.14x = 9,493.68 × 2,629.30
  4. Step 4: Simplify right side
    6,329.14x = 24,961,732.82
  5. Step 5: Solve for x
    x = 24,961,732.82/6,329.14
  6. Step 6: Final answer
    x = 3,943.94

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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.