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Finding the Fourth Proportional to 6,141.77, 9,213.57 and 2,194.04

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Solution

The fourth proportional to 6,141.77, 9,213.57 and 2,194.04 is: 3,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.77 : 9,213.57 = 2,194.04 : x
  2. Step 2: Convert to fraction form
    6,141.77/9,213.57 = 2,194.04/x
  3. Step 3: Cross multiply
    6,141.77x = 9,213.57 × 2,194.04
  4. Step 4: Simplify right side
    6,141.77x = 20,214,941.12
  5. Step 5: Solve for x
    x = 20,214,941.12/6,141.77
  6. Step 6: Final answer
    x = 3,291.39

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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.