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Finding the Fourth Proportional to 9,155.57, 13,734.49 and 2,582.27

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Solution

The fourth proportional to 9,155.57, 13,734.49 and 2,582.27 is: 3,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.57 : 13,734.49 = 2,582.27 : x
  2. Step 2: Convert to fraction form
    9,155.57/13,734.49 = 2,582.27/x
  3. Step 3: Cross multiply
    9,155.57x = 13,734.49 × 2,582.27
  4. Step 4: Simplify right side
    9,155.57x = 35,466,161.49
  5. Step 5: Solve for x
    x = 35,466,161.49/9,155.57
  6. Step 6: Final answer
    x = 3,873.73

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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.