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Finding the Fourth Proportional to 6,510.91, 9,766.82 and 3,223.12

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Solution

The fourth proportional to 6,510.91, 9,766.82 and 3,223.12 is: 4,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.91 : 9,766.82 = 3,223.12 : x
  2. Step 2: Convert to fraction form
    6,510.91/9,766.82 = 3,223.12/x
  3. Step 3: Cross multiply
    6,510.91x = 9,766.82 × 3,223.12
  4. Step 4: Simplify right side
    6,510.91x = 31,479,653.14
  5. Step 5: Solve for x
    x = 31,479,653.14/6,510.91
  6. Step 6: Final answer
    x = 4,834.91

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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.