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Finding the Fourth Proportional to 9,821.22, 14,731.83 and 8,086.20

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Solution

The fourth proportional to 9,821.22, 14,731.83 and 8,086.20 is: 12,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.22 : 14,731.83 = 8,086.20 : x
  2. Step 2: Convert to fraction form
    9,821.22/14,731.83 = 8,086.20/x
  3. Step 3: Cross multiply
    9,821.22x = 14,731.83 × 8,086.20
  4. Step 4: Simplify right side
    9,821.22x = 119,124,523.75
  5. Step 5: Solve for x
    x = 119,124,523.75/9,821.22
  6. Step 6: Final answer
    x = 12,129.30

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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.