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Finding the Fourth Proportional to 6,384, 9,576.96 and 2,280.96

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Solution

The fourth proportional to 6,384, 9,576.96 and 2,280.96 is: 3,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 9,576.96 = 2,280.96 : x
  2. Step 2: Convert to fraction form
    6,384/9,576.96 = 2,280.96/x
  3. Step 3: Cross multiply
    6,384x = 9,576.96 × 2,280.96
  4. Step 4: Simplify right side
    6,384x = 21,844,662.68
  5. Step 5: Solve for x
    x = 21,844,662.68/6,384
  6. Step 6: Final answer
    x = 3,421.78

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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.