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Finding the Fourth Proportional to 6,329.37, 9,494.96 and 1,947.19

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Solution

The fourth proportional to 6,329.37, 9,494.96 and 1,947.19 is: 2,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.37 : 9,494.96 = 1,947.19 : x
  2. Step 2: Convert to fraction form
    6,329.37/9,494.96 = 1,947.19/x
  3. Step 3: Cross multiply
    6,329.37x = 9,494.96 × 1,947.19
  4. Step 4: Simplify right side
    6,329.37x = 18,488,491.16
  5. Step 5: Solve for x
    x = 18,488,491.16/6,329.37
  6. Step 6: Final answer
    x = 2,921.06

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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.