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Finding the Fourth Proportional to 6,314.37, 9,472.61 and 2,367.05

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Solution

The fourth proportional to 6,314.37, 9,472.61 and 2,367.05 is: 3,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.37 : 9,472.61 = 2,367.05 : x
  2. Step 2: Convert to fraction form
    6,314.37/9,472.61 = 2,367.05/x
  3. Step 3: Cross multiply
    6,314.37x = 9,472.61 × 2,367.05
  4. Step 4: Simplify right side
    6,314.37x = 22,422,082.30
  5. Step 5: Solve for x
    x = 22,422,082.30/6,314.37
  6. Step 6: Final answer
    x = 3,550.96

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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.