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Finding the Fourth Proportional to 9,382.82, 14,046.16 and 5,673.82

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Solution

The fourth proportional to 9,382.82, 14,046.16 and 5,673.82 is: 8,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.82 : 14,046.16 = 5,673.82 : x
  2. Step 2: Convert to fraction form
    9,382.82/14,046.16 = 5,673.82/x
  3. Step 3: Cross multiply
    9,382.82x = 14,046.16 × 5,673.82
  4. Step 4: Simplify right side
    9,382.82x = 79,695,383.53
  5. Step 5: Solve for x
    x = 79,695,383.53/9,382.82
  6. Step 6: Final answer
    x = 8,493.76

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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.