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Finding the Fourth Proportional to 6,385.84, 9,576.39 and 2,224.78

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Solution

The fourth proportional to 6,385.84, 9,576.39 and 2,224.78 is: 3,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.84 : 9,576.39 = 2,224.78 : x
  2. Step 2: Convert to fraction form
    6,385.84/9,576.39 = 2,224.78/x
  3. Step 3: Cross multiply
    6,385.84x = 9,576.39 × 2,224.78
  4. Step 4: Simplify right side
    6,385.84x = 21,305,360.94
  5. Step 5: Solve for x
    x = 21,305,360.94/6,385.84
  6. Step 6: Final answer
    x = 3,336.34

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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.