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Finding the Fourth Proportional to 9,991.09, 13,790.87 and 6,212.02

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Solution

The fourth proportional to 9,991.09, 13,790.87 and 6,212.02 is: 8,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.09 : 13,790.87 = 6,212.02 : x
  2. Step 2: Convert to fraction form
    9,991.09/13,790.87 = 6,212.02/x
  3. Step 3: Cross multiply
    9,991.09x = 13,790.87 × 6,212.02
  4. Step 4: Simplify right side
    9,991.09x = 85,669,160.26
  5. Step 5: Solve for x
    x = 85,669,160.26/9,991.09
  6. Step 6: Final answer
    x = 8,574.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.