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Finding the Fourth Proportional to 6,274.38, 9,415.89 and 2,170.38

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Solution

The fourth proportional to 6,274.38, 9,415.89 and 2,170.38 is: 3,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.38 : 9,415.89 = 2,170.38 : x
  2. Step 2: Convert to fraction form
    6,274.38/9,415.89 = 2,170.38/x
  3. Step 3: Cross multiply
    6,274.38x = 9,415.89 × 2,170.38
  4. Step 4: Simplify right side
    6,274.38x = 20,436,059.34
  5. Step 5: Solve for x
    x = 20,436,059.34/6,274.38
  6. Step 6: Final answer
    x = 3,257.06

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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.