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Finding the Fourth Proportional to 6,291.38, 9,436.80 and 2,131.22

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Solution

The fourth proportional to 6,291.38, 9,436.80 and 2,131.22 is: 3,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.38 : 9,436.80 = 2,131.22 : x
  2. Step 2: Convert to fraction form
    6,291.38/9,436.80 = 2,131.22/x
  3. Step 3: Cross multiply
    6,291.38x = 9,436.80 × 2,131.22
  4. Step 4: Simplify right side
    6,291.38x = 20,111,896.90
  5. Step 5: Solve for x
    x = 20,111,896.90/6,291.38
  6. Step 6: Final answer
    x = 3,196.74

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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.