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Finding the Fourth Proportional to 6,587.73, 9,896.18 and 6,380.37

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Solution

The fourth proportional to 6,587.73, 9,896.18 and 6,380.37 is: 9,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.73 : 9,896.18 = 6,380.37 : x
  2. Step 2: Convert to fraction form
    6,587.73/9,896.18 = 6,380.37/x
  3. Step 3: Cross multiply
    6,587.73x = 9,896.18 × 6,380.37
  4. Step 4: Simplify right side
    6,587.73x = 63,141,258.08
  5. Step 5: Solve for x
    x = 63,141,258.08/6,587.73
  6. Step 6: Final answer
    x = 9,584.68

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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.