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Finding the Fourth Proportional to 9,366.25, 14,049.39 and 3,822.61

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Solution

The fourth proportional to 9,366.25, 14,049.39 and 3,822.61 is: 5,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.25 : 14,049.39 = 3,822.61 : x
  2. Step 2: Convert to fraction form
    9,366.25/14,049.39 = 3,822.61/x
  3. Step 3: Cross multiply
    9,366.25x = 14,049.39 × 3,822.61
  4. Step 4: Simplify right side
    9,366.25x = 53,705,338.71
  5. Step 5: Solve for x
    x = 53,705,338.71/9,366.25
  6. Step 6: Final answer
    x = 5,733.92

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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.