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Finding the Fourth Proportional to 9,530.26, 14,290.51 and 3,982.09

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Solution

The fourth proportional to 9,530.26, 14,290.51 and 3,982.09 is: 5,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.26 : 14,290.51 = 3,982.09 : x
  2. Step 2: Convert to fraction form
    9,530.26/14,290.51 = 3,982.09/x
  3. Step 3: Cross multiply
    9,530.26x = 14,290.51 × 3,982.09
  4. Step 4: Simplify right side
    9,530.26x = 56,906,096.97
  5. Step 5: Solve for x
    x = 56,906,096.97/9,530.26
  6. Step 6: Final answer
    x = 5,971.10

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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.