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Finding the Fourth Proportional to 6,466.50, 8,923.77 and 3,672

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Solution

The fourth proportional to 6,466.50, 8,923.77 and 3,672 is: 5,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.50 : 8,923.77 = 3,672 : x
  2. Step 2: Convert to fraction form
    6,466.50/8,923.77 = 3,672/x
  3. Step 3: Cross multiply
    6,466.50x = 8,923.77 × 3,672
  4. Step 4: Simplify right side
    6,466.50x = 32,768,083.44
  5. Step 5: Solve for x
    x = 32,768,083.44/6,466.50
  6. Step 6: Final answer
    x = 5,067.36

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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.