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Finding the Fourth Proportional to 6,286.83, 8,676.06 and 3,769.35

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Solution

The fourth proportional to 6,286.83, 8,676.06 and 3,769.35 is: 5,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.83 : 8,676.06 = 3,769.35 : x
  2. Step 2: Convert to fraction form
    6,286.83/8,676.06 = 3,769.35/x
  3. Step 3: Cross multiply
    6,286.83x = 8,676.06 × 3,769.35
  4. Step 4: Simplify right side
    6,286.83x = 32,703,106.76
  5. Step 5: Solve for x
    x = 32,703,106.76/6,286.83
  6. Step 6: Final answer
    x = 5,201.84

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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.