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Finding the Fourth Proportional to 9,182.72, 13,774.91 and 2,857.68

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Solution

The fourth proportional to 9,182.72, 13,774.91 and 2,857.68 is: 4,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.72 : 13,774.91 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    9,182.72/13,774.91 = 2,857.68/x
  3. Step 3: Cross multiply
    9,182.72x = 13,774.91 × 2,857.68
  4. Step 4: Simplify right side
    9,182.72x = 39,364,286.59
  5. Step 5: Solve for x
    x = 39,364,286.59/9,182.72
  6. Step 6: Final answer
    x = 4,286.78

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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.