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Finding the Fourth Proportional to 6,466.82, 8,924.18 and 3,634.27

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Solution

The fourth proportional to 6,466.82, 8,924.18 and 3,634.27 is: 5,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.82 : 8,924.18 = 3,634.27 : x
  2. Step 2: Convert to fraction form
    6,466.82/8,924.18 = 3,634.27/x
  3. Step 3: Cross multiply
    6,466.82x = 8,924.18 × 3,634.27
  4. Step 4: Simplify right side
    6,466.82x = 32,432,839.17
  5. Step 5: Solve for x
    x = 32,432,839.17/6,466.82
  6. Step 6: Final answer
    x = 5,015.27

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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.