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Finding the Fourth Proportional to 9,185.66, 12,682.29 and 8,189.21

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Solution

The fourth proportional to 9,185.66, 12,682.29 and 8,189.21 is: 11,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.66 : 12,682.29 = 8,189.21 : x
  2. Step 2: Convert to fraction form
    9,185.66/12,682.29 = 8,189.21/x
  3. Step 3: Cross multiply
    9,185.66x = 12,682.29 × 8,189.21
  4. Step 4: Simplify right side
    9,185.66x = 103,857,947.32
  5. Step 5: Solve for x
    x = 103,857,947.32/9,185.66
  6. Step 6: Final answer
    x = 11,306.53

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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.