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Finding the Fourth Proportional to 9,170.34, 13,753.08 and 3,975

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Solution

The fourth proportional to 9,170.34, 13,753.08 and 3,975 is: 5,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.34 : 13,753.08 = 3,975 : x
  2. Step 2: Convert to fraction form
    9,170.34/13,753.08 = 3,975/x
  3. Step 3: Cross multiply
    9,170.34x = 13,753.08 × 3,975
  4. Step 4: Simplify right side
    9,170.34x = 54,668,493
  5. Step 5: Solve for x
    x = 54,668,493/9,170.34
  6. Step 6: Final answer
    x = 5,961.45

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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.