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Finding the Fourth Proportional to 6,286.76, 8,675.34 and 3,633.74

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Solution

The fourth proportional to 6,286.76, 8,675.34 and 3,633.74 is: 5,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.76 : 8,675.34 = 3,633.74 : x
  2. Step 2: Convert to fraction form
    6,286.76/8,675.34 = 3,633.74/x
  3. Step 3: Cross multiply
    6,286.76x = 8,675.34 × 3,633.74
  4. Step 4: Simplify right side
    6,286.76x = 31,523,929.97
  5. Step 5: Solve for x
    x = 31,523,929.97/6,286.76
  6. Step 6: Final answer
    x = 5,014.34

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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.