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Finding the Fourth Proportional to 12,394.41, 17,104.29 and 6,729.16

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Solution

The fourth proportional to 12,394.41, 17,104.29 and 6,729.16 is: 9,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.41 : 17,104.29 = 6,729.16 : x
  2. Step 2: Convert to fraction form
    12,394.41/17,104.29 = 6,729.16/x
  3. Step 3: Cross multiply
    12,394.41x = 17,104.29 × 6,729.16
  4. Step 4: Simplify right side
    12,394.41x = 115,097,504.10
  5. Step 5: Solve for x
    x = 115,097,504.10/12,394.41
  6. Step 6: Final answer
    x = 9,286.24

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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.