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Finding the Fourth Proportional to 6,410.74, 9,616.46 and 2,027.87

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Solution

The fourth proportional to 6,410.74, 9,616.46 and 2,027.87 is: 3,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.74 : 9,616.46 = 2,027.87 : x
  2. Step 2: Convert to fraction form
    6,410.74/9,616.46 = 2,027.87/x
  3. Step 3: Cross multiply
    6,410.74x = 9,616.46 × 2,027.87
  4. Step 4: Simplify right side
    6,410.74x = 19,500,930.74
  5. Step 5: Solve for x
    x = 19,500,930.74/6,410.74
  6. Step 6: Final answer
    x = 3,041.92

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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.