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Finding the Fourth Proportional to 9,821.09, 14,731.64 and 8,086.07

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Solution

The fourth proportional to 9,821.09, 14,731.64 and 8,086.07 is: 12,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.09 : 14,731.64 = 8,086.07 : x
  2. Step 2: Convert to fraction form
    9,821.09/14,731.64 = 8,086.07/x
  3. Step 3: Cross multiply
    9,821.09x = 14,731.64 × 8,086.07
  4. Step 4: Simplify right side
    9,821.09x = 119,121,098.98
  5. Step 5: Solve for x
    x = 119,121,098.98/9,821.09
  6. Step 6: Final answer
    x = 12,129.11

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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.