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Finding the Fourth Proportional to 6,286.60, 8,673.78 and 3,633.40

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Solution

The fourth proportional to 6,286.60, 8,673.78 and 3,633.40 is: 5,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.60 : 8,673.78 = 3,633.40 : x
  2. Step 2: Convert to fraction form
    6,286.60/8,673.78 = 3,633.40/x
  3. Step 3: Cross multiply
    6,286.60x = 8,673.78 × 3,633.40
  4. Step 4: Simplify right side
    6,286.60x = 31,515,312.25
  5. Step 5: Solve for x
    x = 31,515,312.25/6,286.60
  6. Step 6: Final answer
    x = 5,013.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.