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Finding the Fourth Proportional to 7,126.65, 9,834.82 and 4,142.54

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Solution

The fourth proportional to 7,126.65, 9,834.82 and 4,142.54 is: 5,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.65 : 9,834.82 = 4,142.54 : x
  2. Step 2: Convert to fraction form
    7,126.65/9,834.82 = 4,142.54/x
  3. Step 3: Cross multiply
    7,126.65x = 9,834.82 × 4,142.54
  4. Step 4: Simplify right side
    7,126.65x = 40,741,149.47
  5. Step 5: Solve for x
    x = 40,741,149.47/7,126.65
  6. Step 6: Final answer
    x = 5,716.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.