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Finding the Fourth Proportional to 6,749.97, 9,314.53 and 3,766

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Solution

The fourth proportional to 6,749.97, 9,314.53 and 3,766 is: 5,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.97 : 9,314.53 = 3,766 : x
  2. Step 2: Convert to fraction form
    6,749.97/9,314.53 = 3,766/x
  3. Step 3: Cross multiply
    6,749.97x = 9,314.53 × 3,766
  4. Step 4: Simplify right side
    6,749.97x = 35,078,519.98
  5. Step 5: Solve for x
    x = 35,078,519.98/6,749.97
  6. Step 6: Final answer
    x = 5,196.84

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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.