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Finding the Fourth Proportional to 6,327.24, 8,732.04 and 3,969

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Solution

The fourth proportional to 6,327.24, 8,732.04 and 3,969 is: 5,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.24 : 8,732.04 = 3,969 : x
  2. Step 2: Convert to fraction form
    6,327.24/8,732.04 = 3,969/x
  3. Step 3: Cross multiply
    6,327.24x = 8,732.04 × 3,969
  4. Step 4: Simplify right side
    6,327.24x = 34,657,466.76
  5. Step 5: Solve for x
    x = 34,657,466.76/6,327.24
  6. Step 6: Final answer
    x = 5,477.50

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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.