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Finding the Fourth Proportional to 6,329.16, 9,494.94 and 2,629.38

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Solution

The fourth proportional to 6,329.16, 9,494.94 and 2,629.38 is: 3,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.16 : 9,494.94 = 2,629.38 : x
  2. Step 2: Convert to fraction form
    6,329.16/9,494.94 = 2,629.38/x
  3. Step 3: Cross multiply
    6,329.16x = 9,494.94 × 2,629.38
  4. Step 4: Simplify right side
    6,329.16x = 24,965,805.34
  5. Step 5: Solve for x
    x = 24,965,805.34/6,329.16
  6. Step 6: Final answer
    x = 3,944.57

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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.