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Finding the Fourth Proportional to 6,466.75, 8,924.31 and 3,816.43

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Solution

The fourth proportional to 6,466.75, 8,924.31 and 3,816.43 is: 5,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.75 : 8,924.31 = 3,816.43 : x
  2. Step 2: Convert to fraction form
    6,466.75/8,924.31 = 3,816.43/x
  3. Step 3: Cross multiply
    6,466.75x = 8,924.31 × 3,816.43
  4. Step 4: Simplify right side
    6,466.75x = 34,059,004.41
  5. Step 5: Solve for x
    x = 34,059,004.41/6,466.75
  6. Step 6: Final answer
    x = 5,266.79

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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.