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Finding the Fourth Proportional to 9,176.34, 13,770 and 3,982.22

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Solution

The fourth proportional to 9,176.34, 13,770 and 3,982.22 is: 5,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.34 : 13,770 = 3,982.22 : x
  2. Step 2: Convert to fraction form
    9,176.34/13,770 = 3,982.22/x
  3. Step 3: Cross multiply
    9,176.34x = 13,770 × 3,982.22
  4. Step 4: Simplify right side
    9,176.34x = 54,835,169.40
  5. Step 5: Solve for x
    x = 54,835,169.40/9,176.34
  6. Step 6: Final answer
    x = 5,975.71

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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.