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Finding the Fourth Proportional to 9,217.01, 13,824 and 3,952.87

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Solution

The fourth proportional to 9,217.01, 13,824 and 3,952.87 is: 5,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.01 : 13,824 = 3,952.87 : x
  2. Step 2: Convert to fraction form
    9,217.01/13,824 = 3,952.87/x
  3. Step 3: Cross multiply
    9,217.01x = 13,824 × 3,952.87
  4. Step 4: Simplify right side
    9,217.01x = 54,644,474.88
  5. Step 5: Solve for x
    x = 54,644,474.88/9,217.01
  6. Step 6: Final answer
    x = 5,928.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.