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Finding the Fourth Proportional to 9,185.11, 12,663.72 and 5,949.22

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Solution

The fourth proportional to 9,185.11, 12,663.72 and 5,949.22 is: 8,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.11 : 12,663.72 = 5,949.22 : x
  2. Step 2: Convert to fraction form
    9,185.11/12,663.72 = 5,949.22/x
  3. Step 3: Cross multiply
    9,185.11x = 12,663.72 × 5,949.22
  4. Step 4: Simplify right side
    9,185.11x = 75,339,233.47
  5. Step 5: Solve for x
    x = 75,339,233.47/9,185.11
  6. Step 6: Final answer
    x = 8,202.32

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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.