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Finding the Fourth Proportional to 6,481.36, 9,725.88 and 2,587.60

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Solution

The fourth proportional to 6,481.36, 9,725.88 and 2,587.60 is: 3,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.36 : 9,725.88 = 2,587.60 : x
  2. Step 2: Convert to fraction form
    6,481.36/9,725.88 = 2,587.60/x
  3. Step 3: Cross multiply
    6,481.36x = 9,725.88 × 2,587.60
  4. Step 4: Simplify right side
    6,481.36x = 25,166,687.09
  5. Step 5: Solve for x
    x = 25,166,687.09/6,481.36
  6. Step 6: Final answer
    x = 3,882.93

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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.