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Finding the Fourth Proportional to 6,849.98, 9,453.26 and 3,865.82

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Solution

The fourth proportional to 6,849.98, 9,453.26 and 3,865.82 is: 5,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.98 : 9,453.26 = 3,865.82 : x
  2. Step 2: Convert to fraction form
    6,849.98/9,453.26 = 3,865.82/x
  3. Step 3: Cross multiply
    6,849.98x = 9,453.26 × 3,865.82
  4. Step 4: Simplify right side
    6,849.98x = 36,544,601.57
  5. Step 5: Solve for x
    x = 36,544,601.57/6,849.98
  6. Step 6: Final answer
    x = 5,334.99

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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.