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Finding the Fourth Proportional to 12,397.09, 17,107.96 and 6,808.09

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Solution

The fourth proportional to 12,397.09, 17,107.96 and 6,808.09 is: 9,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.09 : 17,107.96 = 6,808.09 : x
  2. Step 2: Convert to fraction form
    12,397.09/17,107.96 = 6,808.09/x
  3. Step 3: Cross multiply
    12,397.09x = 17,107.96 × 6,808.09
  4. Step 4: Simplify right side
    12,397.09x = 116,472,497.14
  5. Step 5: Solve for x
    x = 116,472,497.14/12,397.09
  6. Step 6: Final answer
    x = 9,395.15

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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.