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Finding the Fourth Proportional to 9,131.92, 13,697.78 and 2,891.94

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Solution

The fourth proportional to 9,131.92, 13,697.78 and 2,891.94 is: 4,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.92 : 13,697.78 = 2,891.94 : x
  2. Step 2: Convert to fraction form
    9,131.92/13,697.78 = 2,891.94/x
  3. Step 3: Cross multiply
    9,131.92x = 13,697.78 × 2,891.94
  4. Step 4: Simplify right side
    9,131.92x = 39,613,074.94
  5. Step 5: Solve for x
    x = 39,613,074.94/9,131.92
  6. Step 6: Final answer
    x = 4,337.87

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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.