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Finding the Fourth Proportional to 6,668.78, 9,191.94 and 4,729.13

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Solution

The fourth proportional to 6,668.78, 9,191.94 and 4,729.13 is: 6,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.78 : 9,191.94 = 4,729.13 : x
  2. Step 2: Convert to fraction form
    6,668.78/9,191.94 = 4,729.13/x
  3. Step 3: Cross multiply
    6,668.78x = 9,191.94 × 4,729.13
  4. Step 4: Simplify right side
    6,668.78x = 43,469,879.21
  5. Step 5: Solve for x
    x = 43,469,879.21/6,668.78
  6. Step 6: Final answer
    x = 6,518.42

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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.