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Finding the Fourth Proportional to 8,563.69, 12,845.34 and 3,946.69

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Solution

The fourth proportional to 8,563.69, 12,845.34 and 3,946.69 is: 5,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.69 : 12,845.34 = 3,946.69 : x
  2. Step 2: Convert to fraction form
    8,563.69/12,845.34 = 3,946.69/x
  3. Step 3: Cross multiply
    8,563.69x = 12,845.34 × 3,946.69
  4. Step 4: Simplify right side
    8,563.69x = 50,696,574.92
  5. Step 5: Solve for x
    x = 50,696,574.92/8,563.69
  6. Step 6: Final answer
    x = 5,919.95

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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.