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Finding the Fourth Proportional to 6,193.58, 9,287.70 and 3,850.07

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Solution

The fourth proportional to 6,193.58, 9,287.70 and 3,850.07 is: 5,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.58 : 9,287.70 = 3,850.07 : x
  2. Step 2: Convert to fraction form
    6,193.58/9,287.70 = 3,850.07/x
  3. Step 3: Cross multiply
    6,193.58x = 9,287.70 × 3,850.07
  4. Step 4: Simplify right side
    6,193.58x = 35,758,248.70
  5. Step 5: Solve for x
    x = 35,758,248.70/6,193.58
  6. Step 6: Final answer
    x = 5,773.44

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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.