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Finding the Fourth Proportional to 6,294.62, 9,441.27 and 2,134.52

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Solution

The fourth proportional to 6,294.62, 9,441.27 and 2,134.52 is: 3,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.62 : 9,441.27 = 2,134.52 : x
  2. Step 2: Convert to fraction form
    6,294.62/9,441.27 = 2,134.52/x
  3. Step 3: Cross multiply
    6,294.62x = 9,441.27 × 2,134.52
  4. Step 4: Simplify right side
    6,294.62x = 20,152,532.43
  5. Step 5: Solve for x
    x = 20,152,532.43/6,294.62
  6. Step 6: Final answer
    x = 3,201.55

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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.