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Finding the Fourth Proportional to 9,627.14, 13,286.34 and 5,849.43

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Solution

The fourth proportional to 9,627.14, 13,286.34 and 5,849.43 is: 8,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.14 : 13,286.34 = 5,849.43 : x
  2. Step 2: Convert to fraction form
    9,627.14/13,286.34 = 5,849.43/x
  3. Step 3: Cross multiply
    9,627.14x = 13,286.34 × 5,849.43
  4. Step 4: Simplify right side
    9,627.14x = 77,717,515.79
  5. Step 5: Solve for x
    x = 77,717,515.79/9,627.14
  6. Step 6: Final answer
    x = 8,072.75

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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.