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Finding the Fourth Proportional to 9,832.20, 14,722.38 and 5,201.16

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Solution

The fourth proportional to 9,832.20, 14,722.38 and 5,201.16 is: 7,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.20 : 14,722.38 = 5,201.16 : x
  2. Step 2: Convert to fraction form
    9,832.20/14,722.38 = 5,201.16/x
  3. Step 3: Cross multiply
    9,832.20x = 14,722.38 × 5,201.16
  4. Step 4: Simplify right side
    9,832.20x = 76,573,453.96
  5. Step 5: Solve for x
    x = 76,573,453.96/9,832.20
  6. Step 6: Final answer
    x = 7,788.03

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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.