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Finding the Fourth Proportional to 6,749.94, 9,314.46 and 4,231.95

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Solution

The fourth proportional to 6,749.94, 9,314.46 and 4,231.95 is: 5,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.94 : 9,314.46 = 4,231.95 : x
  2. Step 2: Convert to fraction form
    6,749.94/9,314.46 = 4,231.95/x
  3. Step 3: Cross multiply
    6,749.94x = 9,314.46 × 4,231.95
  4. Step 4: Simplify right side
    6,749.94x = 39,418,329.00
  5. Step 5: Solve for x
    x = 39,418,329.00/6,749.94
  6. Step 6: Final answer
    x = 5,839.80

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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.