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Finding the Fourth Proportional to 6,218.94, 9,329.26 and 2,269.70

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Solution

The fourth proportional to 6,218.94, 9,329.26 and 2,269.70 is: 3,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.94 : 9,329.26 = 2,269.70 : x
  2. Step 2: Convert to fraction form
    6,218.94/9,329.26 = 2,269.70/x
  3. Step 3: Cross multiply
    6,218.94x = 9,329.26 × 2,269.70
  4. Step 4: Simplify right side
    6,218.94x = 21,174,591.68
  5. Step 5: Solve for x
    x = 21,174,591.68/6,218.94
  6. Step 6: Final answer
    x = 3,404.86

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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.