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Finding the Fourth Proportional to 9,950.82, 13,729.47 and 6,411.18

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Solution

The fourth proportional to 9,950.82, 13,729.47 and 6,411.18 is: 8,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.82 : 13,729.47 = 6,411.18 : x
  2. Step 2: Convert to fraction form
    9,950.82/13,729.47 = 6,411.18/x
  3. Step 3: Cross multiply
    9,950.82x = 13,729.47 × 6,411.18
  4. Step 4: Simplify right side
    9,950.82x = 88,022,103.47
  5. Step 5: Solve for x
    x = 88,022,103.47/9,950.82
  6. Step 6: Final answer
    x = 8,845.71

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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.