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Finding the Fourth Proportional to 9,211.80, 12,708.67 and 5,668.86

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Solution

The fourth proportional to 9,211.80, 12,708.67 and 5,668.86 is: 7,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.80 : 12,708.67 = 5,668.86 : x
  2. Step 2: Convert to fraction form
    9,211.80/12,708.67 = 5,668.86/x
  3. Step 3: Cross multiply
    9,211.80x = 12,708.67 × 5,668.86
  4. Step 4: Simplify right side
    9,211.80x = 72,043,623.36
  5. Step 5: Solve for x
    x = 72,043,623.36/9,211.80
  6. Step 6: Final answer
    x = 7,820.80

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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.