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Finding the Fourth Proportional to 9,104.73, 13,657.17 and 2,864.60

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Solution

The fourth proportional to 9,104.73, 13,657.17 and 2,864.60 is: 4,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.73 : 13,657.17 = 2,864.60 : x
  2. Step 2: Convert to fraction form
    9,104.73/13,657.17 = 2,864.60/x
  3. Step 3: Cross multiply
    9,104.73x = 13,657.17 × 2,864.60
  4. Step 4: Simplify right side
    9,104.73x = 39,122,260.90
  5. Step 5: Solve for x
    x = 39,122,260.90/9,104.73
  6. Step 6: Final answer
    x = 4,296.92

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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.