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Finding the Fourth Proportional to 9,366.49, 14,049.70 and 5,468.16

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Solution

The fourth proportional to 9,366.49, 14,049.70 and 5,468.16 is: 8,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.49 : 14,049.70 = 5,468.16 : x
  2. Step 2: Convert to fraction form
    9,366.49/14,049.70 = 5,468.16/x
  3. Step 3: Cross multiply
    9,366.49x = 14,049.70 × 5,468.16
  4. Step 4: Simplify right side
    9,366.49x = 76,825,998.30
  5. Step 5: Solve for x
    x = 76,825,998.30/9,366.49
  6. Step 6: Final answer
    x = 8,202.22

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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.