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Finding the Fourth Proportional to 9,155.69, 13,733.50 and 2,581.86

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Solution

The fourth proportional to 9,155.69, 13,733.50 and 2,581.86 is: 3,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.69 : 13,733.50 = 2,581.86 : x
  2. Step 2: Convert to fraction form
    9,155.69/13,733.50 = 2,581.86/x
  3. Step 3: Cross multiply
    9,155.69x = 13,733.50 × 2,581.86
  4. Step 4: Simplify right side
    9,155.69x = 35,457,974.31
  5. Step 5: Solve for x
    x = 35,457,974.31/9,155.69
  6. Step 6: Final answer
    x = 3,872.78

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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.