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Finding the Fourth Proportional to 6,327.30, 9,491.64 and 3,877.86

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Solution

The fourth proportional to 6,327.30, 9,491.64 and 3,877.86 is: 5,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.30 : 9,491.64 = 3,877.86 : x
  2. Step 2: Convert to fraction form
    6,327.30/9,491.64 = 3,877.86/x
  3. Step 3: Cross multiply
    6,327.30x = 9,491.64 × 3,877.86
  4. Step 4: Simplify right side
    6,327.30x = 36,807,184.24
  5. Step 5: Solve for x
    x = 36,807,184.24/6,327.30
  6. Step 6: Final answer
    x = 5,817.21

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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.