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Finding the Fourth Proportional to 6,192.30, 9,288.87 and 2,494.53

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Solution

The fourth proportional to 6,192.30, 9,288.87 and 2,494.53 is: 3,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.30 : 9,288.87 = 2,494.53 : x
  2. Step 2: Convert to fraction form
    6,192.30/9,288.87 = 2,494.53/x
  3. Step 3: Cross multiply
    6,192.30x = 9,288.87 × 2,494.53
  4. Step 4: Simplify right side
    6,192.30x = 23,171,364.88
  5. Step 5: Solve for x
    x = 23,171,364.88/6,192.30
  6. Step 6: Final answer
    x = 3,741.96

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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.