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Finding the Fourth Proportional to 6,224.85, 9,338.29 and 2,329.56

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Solution

The fourth proportional to 6,224.85, 9,338.29 and 2,329.56 is: 3,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.85 : 9,338.29 = 2,329.56 : x
  2. Step 2: Convert to fraction form
    6,224.85/9,338.29 = 2,329.56/x
  3. Step 3: Cross multiply
    6,224.85x = 9,338.29 × 2,329.56
  4. Step 4: Simplify right side
    6,224.85x = 21,754,101.03
  5. Step 5: Solve for x
    x = 21,754,101.03/6,224.85
  6. Step 6: Final answer
    x = 3,494.72

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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.