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Finding the Fourth Proportional to 6,385.10, 9,576.16 and 2,436.80

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Solution

The fourth proportional to 6,385.10, 9,576.16 and 2,436.80 is: 3,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.10 : 9,576.16 = 2,436.80 : x
  2. Step 2: Convert to fraction form
    6,385.10/9,576.16 = 2,436.80/x
  3. Step 3: Cross multiply
    6,385.10x = 9,576.16 × 2,436.80
  4. Step 4: Simplify right side
    6,385.10x = 23,335,186.69
  5. Step 5: Solve for x
    x = 23,335,186.69/6,385.10
  6. Step 6: Final answer
    x = 3,654.63

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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.