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Finding the Fourth Proportional to 9,211.69, 13,816.89 and 3,946.69

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Solution

The fourth proportional to 9,211.69, 13,816.89 and 3,946.69 is: 5,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.69 : 13,816.89 = 3,946.69 : x
  2. Step 2: Convert to fraction form
    9,211.69/13,816.89 = 3,946.69/x
  3. Step 3: Cross multiply
    9,211.69x = 13,816.89 × 3,946.69
  4. Step 4: Simplify right side
    9,211.69x = 54,530,981.59
  5. Step 5: Solve for x
    x = 54,530,981.59/9,211.69
  6. Step 6: Final answer
    x = 5,919.76

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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.