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Finding the Fourth Proportional to 6,466.82, 8,923.55 and 3,633.98

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Solution

The fourth proportional to 6,466.82, 8,923.55 and 3,633.98 is: 5,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.82 : 8,923.55 = 3,633.98 : x
  2. Step 2: Convert to fraction form
    6,466.82/8,923.55 = 3,633.98/x
  3. Step 3: Cross multiply
    6,466.82x = 8,923.55 × 3,633.98
  4. Step 4: Simplify right side
    6,466.82x = 32,427,939.44
  5. Step 5: Solve for x
    x = 32,427,939.44/6,466.82
  6. Step 6: Final answer
    x = 5,014.51

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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.