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Finding the Fourth Proportional to 9,747.90, 14,621.85 and 7,998.30

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Solution

The fourth proportional to 9,747.90, 14,621.85 and 7,998.30 is: 11,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.90 : 14,621.85 = 7,998.30 : x
  2. Step 2: Convert to fraction form
    9,747.90/14,621.85 = 7,998.30/x
  3. Step 3: Cross multiply
    9,747.90x = 14,621.85 × 7,998.30
  4. Step 4: Simplify right side
    9,747.90x = 116,949,942.86
  5. Step 5: Solve for x
    x = 116,949,942.86/9,747.90
  6. Step 6: Final answer
    x = 11,997.45

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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.