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Finding the Fourth Proportional to 6,439.99, 9,660.39 and 1,760.08

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Solution

The fourth proportional to 6,439.99, 9,660.39 and 1,760.08 is: 2,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.99 : 9,660.39 = 1,760.08 : x
  2. Step 2: Convert to fraction form
    6,439.99/9,660.39 = 1,760.08/x
  3. Step 3: Cross multiply
    6,439.99x = 9,660.39 × 1,760.08
  4. Step 4: Simplify right side
    6,439.99x = 17,003,059.23
  5. Step 5: Solve for x
    x = 17,003,059.23/6,439.99
  6. Step 6: Final answer
    x = 2,640.23

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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.