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Finding the Fourth Proportional to 9,180.06, 12,668.04 and 5,200.80

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Solution

The fourth proportional to 9,180.06, 12,668.04 and 5,200.80 is: 7,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.06 : 12,668.04 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    9,180.06/12,668.04 = 5,200.80/x
  3. Step 3: Cross multiply
    9,180.06x = 12,668.04 × 5,200.80
  4. Step 4: Simplify right side
    9,180.06x = 65,883,942.43
  5. Step 5: Solve for x
    x = 65,883,942.43/9,180.06
  6. Step 6: Final answer
    x = 7,176.85

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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.