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Finding the Fourth Proportional to 6,312.41, 9,474.47 and 3,194.61

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Solution

The fourth proportional to 6,312.41, 9,474.47 and 3,194.61 is: 4,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.41 : 9,474.47 = 3,194.61 : x
  2. Step 2: Convert to fraction form
    6,312.41/9,474.47 = 3,194.61/x
  3. Step 3: Cross multiply
    6,312.41x = 9,474.47 × 3,194.61
  4. Step 4: Simplify right side
    6,312.41x = 30,267,236.61
  5. Step 5: Solve for x
    x = 30,267,236.61/6,312.41
  6. Step 6: Final answer
    x = 4,794.88

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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.