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Finding the Fourth Proportional to 9,172.82, 12,658.53 and 5,194.70

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Solution

The fourth proportional to 9,172.82, 12,658.53 and 5,194.70 is: 7,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.82 : 12,658.53 = 5,194.70 : x
  2. Step 2: Convert to fraction form
    9,172.82/12,658.53 = 5,194.70/x
  3. Step 3: Cross multiply
    9,172.82x = 12,658.53 × 5,194.70
  4. Step 4: Simplify right side
    9,172.82x = 65,757,269.45
  5. Step 5: Solve for x
    x = 65,757,269.45/9,172.82
  6. Step 6: Final answer
    x = 7,168.71

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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.