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Finding the Fourth Proportional to 8,694.42, 13,033.83 and 3,146.46

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Solution

The fourth proportional to 8,694.42, 13,033.83 and 3,146.46 is: 4,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.42 : 13,033.83 = 3,146.46 : x
  2. Step 2: Convert to fraction form
    8,694.42/13,033.83 = 3,146.46/x
  3. Step 3: Cross multiply
    8,694.42x = 13,033.83 × 3,146.46
  4. Step 4: Simplify right side
    8,694.42x = 41,010,424.74
  5. Step 5: Solve for x
    x = 41,010,424.74/8,694.42
  6. Step 6: Final answer
    x = 4,716.87

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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.