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Finding the Fourth Proportional to 6,545.99, 9,794.72 and 3,914.94

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Solution

The fourth proportional to 6,545.99, 9,794.72 and 3,914.94 is: 5,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.99 : 9,794.72 = 3,914.94 : x
  2. Step 2: Convert to fraction form
    6,545.99/9,794.72 = 3,914.94/x
  3. Step 3: Cross multiply
    6,545.99x = 9,794.72 × 3,914.94
  4. Step 4: Simplify right side
    6,545.99x = 38,345,721.54
  5. Step 5: Solve for x
    x = 38,345,721.54/6,545.99
  6. Step 6: Final answer
    x = 5,857.90

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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.