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Finding the Fourth Proportional to 6,466.32, 8,921.39 and 3,633.31

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Solution

The fourth proportional to 6,466.32, 8,921.39 and 3,633.31 is: 5,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.32 : 8,921.39 = 3,633.31 : x
  2. Step 2: Convert to fraction form
    6,466.32/8,921.39 = 3,633.31/x
  3. Step 3: Cross multiply
    6,466.32x = 8,921.39 × 3,633.31
  4. Step 4: Simplify right side
    6,466.32x = 32,414,168.49
  5. Step 5: Solve for x
    x = 32,414,168.49/6,466.32
  6. Step 6: Final answer
    x = 5,012.77

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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.