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Finding the Fourth Proportional to 6,510.43, 9,766.16 and 2,128.33

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Solution

The fourth proportional to 6,510.43, 9,766.16 and 2,128.33 is: 3,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.43 : 9,766.16 = 2,128.33 : x
  2. Step 2: Convert to fraction form
    6,510.43/9,766.16 = 2,128.33/x
  3. Step 3: Cross multiply
    6,510.43x = 9,766.16 × 2,128.33
  4. Step 4: Simplify right side
    6,510.43x = 20,785,600.67
  5. Step 5: Solve for x
    x = 20,785,600.67/6,510.43
  6. Step 6: Final answer
    x = 3,192.66

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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.