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Finding the Fourth Proportional to 12,986.25, 17,906.69 and 9,394.10

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Solution

The fourth proportional to 12,986.25, 17,906.69 and 9,394.10 is: 12,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.25 : 17,906.69 = 9,394.10 : x
  2. Step 2: Convert to fraction form
    12,986.25/17,906.69 = 9,394.10/x
  3. Step 3: Cross multiply
    12,986.25x = 17,906.69 × 9,394.10
  4. Step 4: Simplify right side
    12,986.25x = 168,217,100.03
  5. Step 5: Solve for x
    x = 168,217,100.03/12,986.25
  6. Step 6: Final answer
    x = 12,953.48

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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.