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Finding the Fourth Proportional to 6,329.45, 9,491.83 and 3,697.85

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Solution

The fourth proportional to 6,329.45, 9,491.83 and 3,697.85 is: 5,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.45 : 9,491.83 = 3,697.85 : x
  2. Step 2: Convert to fraction form
    6,329.45/9,491.83 = 3,697.85/x
  3. Step 3: Cross multiply
    6,329.45x = 9,491.83 × 3,697.85
  4. Step 4: Simplify right side
    6,329.45x = 35,099,363.57
  5. Step 5: Solve for x
    x = 35,099,363.57/6,329.45
  6. Step 6: Final answer
    x = 5,545.40

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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.