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Finding the Fourth Proportional to 9,101.73, 13,652.67 and 2,861.60

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Solution

The fourth proportional to 9,101.73, 13,652.67 and 2,861.60 is: 4,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.73 : 13,652.67 = 2,861.60 : x
  2. Step 2: Convert to fraction form
    9,101.73/13,652.67 = 2,861.60/x
  3. Step 3: Cross multiply
    9,101.73x = 13,652.67 × 2,861.60
  4. Step 4: Simplify right side
    9,101.73x = 39,068,412.21
  5. Step 5: Solve for x
    x = 39,068,412.21/9,101.73
  6. Step 6: Final answer
    x = 4,292.42

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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.