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Finding the Fourth Proportional to 9,166.34, 13,747.08 and 3,971

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Solution

The fourth proportional to 9,166.34, 13,747.08 and 3,971 is: 5,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.34 : 13,747.08 = 3,971 : x
  2. Step 2: Convert to fraction form
    9,166.34/13,747.08 = 3,971/x
  3. Step 3: Cross multiply
    9,166.34x = 13,747.08 × 3,971
  4. Step 4: Simplify right side
    9,166.34x = 54,589,654.68
  5. Step 5: Solve for x
    x = 54,589,654.68/9,166.34
  6. Step 6: Final answer
    x = 5,955.45

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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.