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Finding the Fourth Proportional to 6,290.53, 9,438.36 and 3,171.44

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Solution

The fourth proportional to 6,290.53, 9,438.36 and 3,171.44 is: 4,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.53 : 9,438.36 = 3,171.44 : x
  2. Step 2: Convert to fraction form
    6,290.53/9,438.36 = 3,171.44/x
  3. Step 3: Cross multiply
    6,290.53x = 9,438.36 × 3,171.44
  4. Step 4: Simplify right side
    6,290.53x = 29,933,129.39
  5. Step 5: Solve for x
    x = 29,933,129.39/6,290.53
  6. Step 6: Final answer
    x = 4,758.44

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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.