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Finding the Fourth Proportional to 6,510.38, 9,767.66 and 2,350.36

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Solution

The fourth proportional to 6,510.38, 9,767.66 and 2,350.36 is: 3,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.38 : 9,767.66 = 2,350.36 : x
  2. Step 2: Convert to fraction form
    6,510.38/9,767.66 = 2,350.36/x
  3. Step 3: Cross multiply
    6,510.38x = 9,767.66 × 2,350.36
  4. Step 4: Simplify right side
    6,510.38x = 22,957,517.36
  5. Step 5: Solve for x
    x = 22,957,517.36/6,510.38
  6. Step 6: Final answer
    x = 3,526.29

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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.