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Finding the Fourth Proportional to 6,371.92, 9,559.68 and 2,477.44

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Solution

The fourth proportional to 6,371.92, 9,559.68 and 2,477.44 is: 3,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.92 : 9,559.68 = 2,477.44 : x
  2. Step 2: Convert to fraction form
    6,371.92/9,559.68 = 2,477.44/x
  3. Step 3: Cross multiply
    6,371.92x = 9,559.68 × 2,477.44
  4. Step 4: Simplify right side
    6,371.92x = 23,683,533.62
  5. Step 5: Solve for x
    x = 23,683,533.62/6,371.92
  6. Step 6: Final answer
    x = 3,716.86

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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.