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Finding the Fourth Proportional to 6,396.32, 9,576.77 and 3,269.60

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Solution

The fourth proportional to 6,396.32, 9,576.77 and 3,269.60 is: 4,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.32 : 9,576.77 = 3,269.60 : x
  2. Step 2: Convert to fraction form
    6,396.32/9,576.77 = 3,269.60/x
  3. Step 3: Cross multiply
    6,396.32x = 9,576.77 × 3,269.60
  4. Step 4: Simplify right side
    6,396.32x = 31,312,142.96
  5. Step 5: Solve for x
    x = 31,312,142.96/6,396.32
  6. Step 6: Final answer
    x = 4,895.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.