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Finding the Fourth Proportional to 9,772.56, 14,624.78 and 7,997.04

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Solution

The fourth proportional to 9,772.56, 14,624.78 and 7,997.04 is: 11,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.56 : 14,624.78 = 7,997.04 : x
  2. Step 2: Convert to fraction form
    9,772.56/14,624.78 = 7,997.04/x
  3. Step 3: Cross multiply
    9,772.56x = 14,624.78 × 7,997.04
  4. Step 4: Simplify right side
    9,772.56x = 116,954,910.67
  5. Step 5: Solve for x
    x = 116,954,910.67/9,772.56
  6. Step 6: Final answer
    x = 11,967.68

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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.