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Finding the Fourth Proportional to 6,521.24, 8,996.33 and 3,867.14

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Solution

The fourth proportional to 6,521.24, 8,996.33 and 3,867.14 is: 5,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.24 : 8,996.33 = 3,867.14 : x
  2. Step 2: Convert to fraction form
    6,521.24/8,996.33 = 3,867.14/x
  3. Step 3: Cross multiply
    6,521.24x = 8,996.33 × 3,867.14
  4. Step 4: Simplify right side
    6,521.24x = 34,790,067.60
  5. Step 5: Solve for x
    x = 34,790,067.60/6,521.24
  6. Step 6: Final answer
    x = 5,334.89

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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.