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Finding the Fourth Proportional to 11,969.64, 16,517.39 and 6,933.53

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Solution

The fourth proportional to 11,969.64, 16,517.39 and 6,933.53 is: 9,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.64 : 16,517.39 = 6,933.53 : x
  2. Step 2: Convert to fraction form
    11,969.64/16,517.39 = 6,933.53/x
  3. Step 3: Cross multiply
    11,969.64x = 16,517.39 × 6,933.53
  4. Step 4: Simplify right side
    11,969.64x = 114,523,825.71
  5. Step 5: Solve for x
    x = 114,523,825.71/11,969.64
  6. Step 6: Final answer
    x = 9,567.86

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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.