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Finding the Fourth Proportional to 9,180.94, 12,668.66 and 5,201.20

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Solution

The fourth proportional to 9,180.94, 12,668.66 and 5,201.20 is: 7,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.94 : 12,668.66 = 5,201.20 : x
  2. Step 2: Convert to fraction form
    9,180.94/12,668.66 = 5,201.20/x
  3. Step 3: Cross multiply
    9,180.94x = 12,668.66 × 5,201.20
  4. Step 4: Simplify right side
    9,180.94x = 65,892,171.05
  5. Step 5: Solve for x
    x = 65,892,171.05/9,180.94
  6. Step 6: Final answer
    x = 7,177.07

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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.