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Finding the Fourth Proportional to 6,545.45, 9,817.94 and 2,847.68

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Solution

The fourth proportional to 6,545.45, 9,817.94 and 2,847.68 is: 4,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.45 : 9,817.94 = 2,847.68 : x
  2. Step 2: Convert to fraction form
    6,545.45/9,817.94 = 2,847.68/x
  3. Step 3: Cross multiply
    6,545.45x = 9,817.94 × 2,847.68
  4. Step 4: Simplify right side
    6,545.45x = 27,958,337.14
  5. Step 5: Solve for x
    x = 27,958,337.14/6,545.45
  6. Step 6: Final answer
    x = 4,271.42

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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.