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Finding the Fourth Proportional to 6,147.40, 9,218.97 and 3,803.82

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Solution

The fourth proportional to 6,147.40, 9,218.97 and 3,803.82 is: 5,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.40 : 9,218.97 = 3,803.82 : x
  2. Step 2: Convert to fraction form
    6,147.40/9,218.97 = 3,803.82/x
  3. Step 3: Cross multiply
    6,147.40x = 9,218.97 × 3,803.82
  4. Step 4: Simplify right side
    6,147.40x = 35,067,283.45
  5. Step 5: Solve for x
    x = 35,067,283.45/6,147.40
  6. Step 6: Final answer
    x = 5,704.41

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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.