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Finding the Fourth Proportional to 6,311.94, 9,472.77 and 2,851.62

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Solution

The fourth proportional to 6,311.94, 9,472.77 and 2,851.62 is: 4,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.94 : 9,472.77 = 2,851.62 : x
  2. Step 2: Convert to fraction form
    6,311.94/9,472.77 = 2,851.62/x
  3. Step 3: Cross multiply
    6,311.94x = 9,472.77 × 2,851.62
  4. Step 4: Simplify right side
    6,311.94x = 27,012,740.39
  5. Step 5: Solve for x
    x = 27,012,740.39/6,311.94
  6. Step 6: Final answer
    x = 4,279.63

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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.