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Finding the Fourth Proportional to 9,201.09, 12,709.07 and 8,003.71

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Solution

The fourth proportional to 9,201.09, 12,709.07 and 8,003.71 is: 11,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.09 : 12,709.07 = 8,003.71 : x
  2. Step 2: Convert to fraction form
    9,201.09/12,709.07 = 8,003.71/x
  3. Step 3: Cross multiply
    9,201.09x = 12,709.07 × 8,003.71
  4. Step 4: Simplify right side
    9,201.09x = 101,719,716.53
  5. Step 5: Solve for x
    x = 101,719,716.53/9,201.09
  6. Step 6: Final answer
    x = 11,055.18

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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.