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Finding the Fourth Proportional to 6,268.49, 9,404.71 and 3,772.47

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Solution

The fourth proportional to 6,268.49, 9,404.71 and 3,772.47 is: 5,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.49 : 9,404.71 = 3,772.47 : x
  2. Step 2: Convert to fraction form
    6,268.49/9,404.71 = 3,772.47/x
  3. Step 3: Cross multiply
    6,268.49x = 9,404.71 × 3,772.47
  4. Step 4: Simplify right side
    6,268.49x = 35,479,012.17
  5. Step 5: Solve for x
    x = 35,479,012.17/6,268.49
  6. Step 6: Final answer
    x = 5,659.90

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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.