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Finding the Fourth Proportional to 8,096.72, 12,145.80 and 6,249.20

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Solution

The fourth proportional to 8,096.72, 12,145.80 and 6,249.20 is: 9,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.72 : 12,145.80 = 6,249.20 : x
  2. Step 2: Convert to fraction form
    8,096.72/12,145.80 = 6,249.20/x
  3. Step 3: Cross multiply
    8,096.72x = 12,145.80 × 6,249.20
  4. Step 4: Simplify right side
    8,096.72x = 75,901,533.36
  5. Step 5: Solve for x
    x = 75,901,533.36/8,096.72
  6. Step 6: Final answer
    x = 9,374.36

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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.