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Finding the Fourth Proportional to 6,314.70, 9,472.05 and 2,155.80

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Solution

The fourth proportional to 6,314.70, 9,472.05 and 2,155.80 is: 3,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.70 : 9,472.05 = 2,155.80 : x
  2. Step 2: Convert to fraction form
    6,314.70/9,472.05 = 2,155.80/x
  3. Step 3: Cross multiply
    6,314.70x = 9,472.05 × 2,155.80
  4. Step 4: Simplify right side
    6,314.70x = 20,419,845.39
  5. Step 5: Solve for x
    x = 20,419,845.39/6,314.70
  6. Step 6: Final answer
    x = 3,233.70

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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.