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Finding the Fourth Proportional to 8,601.84, 12,896.28 and 4,217.04

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Solution

The fourth proportional to 8,601.84, 12,896.28 and 4,217.04 is: 6,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.84 : 12,896.28 = 4,217.04 : x
  2. Step 2: Convert to fraction form
    8,601.84/12,896.28 = 4,217.04/x
  3. Step 3: Cross multiply
    8,601.84x = 12,896.28 × 4,217.04
  4. Step 4: Simplify right side
    8,601.84x = 54,384,128.61
  5. Step 5: Solve for x
    x = 54,384,128.61/8,601.84
  6. Step 6: Final answer
    x = 6,322.38

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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.