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Finding the Fourth Proportional to 11,982.38, 17,957.37 and 9,386.06

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Solution

The fourth proportional to 11,982.38, 17,957.37 and 9,386.06 is: 14,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.38 : 17,957.37 = 9,386.06 : x
  2. Step 2: Convert to fraction form
    11,982.38/17,957.37 = 9,386.06/x
  3. Step 3: Cross multiply
    11,982.38x = 17,957.37 × 9,386.06
  4. Step 4: Simplify right side
    11,982.38x = 168,548,952.26
  5. Step 5: Solve for x
    x = 168,548,952.26/11,982.38
  6. Step 6: Final answer
    x = 14,066.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.