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Finding the Fourth Proportional to 6,545.69, 9,819.16 and 2,102.23

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Solution

The fourth proportional to 6,545.69, 9,819.16 and 2,102.23 is: 3,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.69 : 9,819.16 = 2,102.23 : x
  2. Step 2: Convert to fraction form
    6,545.69/9,819.16 = 2,102.23/x
  3. Step 3: Cross multiply
    6,545.69x = 9,819.16 × 2,102.23
  4. Step 4: Simplify right side
    6,545.69x = 20,642,132.73
  5. Step 5: Solve for x
    x = 20,642,132.73/6,545.69
  6. Step 6: Final answer
    x = 3,153.55

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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.