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Finding the Fourth Proportional to 8,634.36, 12,939.28 and 3,942.84

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Solution

The fourth proportional to 8,634.36, 12,939.28 and 3,942.84 is: 5,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.36 : 12,939.28 = 3,942.84 : x
  2. Step 2: Convert to fraction form
    8,634.36/12,939.28 = 3,942.84/x
  3. Step 3: Cross multiply
    8,634.36x = 12,939.28 × 3,942.84
  4. Step 4: Simplify right side
    8,634.36x = 51,017,510.76
  5. Step 5: Solve for x
    x = 51,017,510.76/8,634.36
  6. Step 6: Final answer
    x = 5,908.66

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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.