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Finding the Fourth Proportional to 6,510.22, 9,760.99 and 2,126.14

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Solution

The fourth proportional to 6,510.22, 9,760.99 and 2,126.14 is: 3,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.22 : 9,760.99 = 2,126.14 : x
  2. Step 2: Convert to fraction form
    6,510.22/9,760.99 = 2,126.14/x
  3. Step 3: Cross multiply
    6,510.22x = 9,760.99 × 2,126.14
  4. Step 4: Simplify right side
    6,510.22x = 20,753,231.28
  5. Step 5: Solve for x
    x = 20,753,231.28/6,510.22
  6. Step 6: Final answer
    x = 3,187.79

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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.