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Finding the Fourth Proportional to 6,286.69, 8,675.64 and 3,634.11

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Solution

The fourth proportional to 6,286.69, 8,675.64 and 3,634.11 is: 5,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.69 : 8,675.64 = 3,634.11 : x
  2. Step 2: Convert to fraction form
    6,286.69/8,675.64 = 3,634.11/x
  3. Step 3: Cross multiply
    6,286.69x = 8,675.64 × 3,634.11
  4. Step 4: Simplify right side
    6,286.69x = 31,528,230.08
  5. Step 5: Solve for x
    x = 31,528,230.08/6,286.69
  6. Step 6: Final answer
    x = 5,015.08

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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.