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Finding the Fourth Proportional to 6,410.68, 9,617.38 and 2,028.48

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Solution

The fourth proportional to 6,410.68, 9,617.38 and 2,028.48 is: 3,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.68 : 9,617.38 = 2,028.48 : x
  2. Step 2: Convert to fraction form
    6,410.68/9,617.38 = 2,028.48/x
  3. Step 3: Cross multiply
    6,410.68x = 9,617.38 × 2,028.48
  4. Step 4: Simplify right side
    6,410.68x = 19,508,662.98
  5. Step 5: Solve for x
    x = 19,508,662.98/6,410.68
  6. Step 6: Final answer
    x = 3,043.15

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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.