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Finding the Fourth Proportional to 6,359.46, 9,540.22 and 1,977.92

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Solution

The fourth proportional to 6,359.46, 9,540.22 and 1,977.92 is: 2,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.46 : 9,540.22 = 1,977.92 : x
  2. Step 2: Convert to fraction form
    6,359.46/9,540.22 = 1,977.92/x
  3. Step 3: Cross multiply
    6,359.46x = 9,540.22 × 1,977.92
  4. Step 4: Simplify right side
    6,359.46x = 18,869,791.94
  5. Step 5: Solve for x
    x = 18,869,791.94/6,359.46
  6. Step 6: Final answer
    x = 2,967.20

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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.