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Finding the Fourth Proportional to 9,181.62, 12,668.55 and 5,201.82

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Solution

The fourth proportional to 9,181.62, 12,668.55 and 5,201.82 is: 7,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.62 : 12,668.55 = 5,201.82 : x
  2. Step 2: Convert to fraction form
    9,181.62/12,668.55 = 5,201.82/x
  3. Step 3: Cross multiply
    9,181.62x = 12,668.55 × 5,201.82
  4. Step 4: Simplify right side
    9,181.62x = 65,899,516.76
  5. Step 5: Solve for x
    x = 65,899,516.76/9,181.62
  6. Step 6: Final answer
    x = 7,177.33

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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.