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Finding the Fourth Proportional to 6,427.07, 9,634.02 and 3,647.87

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Solution

The fourth proportional to 6,427.07, 9,634.02 and 3,647.87 is: 5,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.07 : 9,634.02 = 3,647.87 : x
  2. Step 2: Convert to fraction form
    6,427.07/9,634.02 = 3,647.87/x
  3. Step 3: Cross multiply
    6,427.07x = 9,634.02 × 3,647.87
  4. Step 4: Simplify right side
    6,427.07x = 35,143,604.37
  5. Step 5: Solve for x
    x = 35,143,604.37/6,427.07
  6. Step 6: Final answer
    x = 5,468.06

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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.