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Finding the Fourth Proportional to 6,343.36, 9,515.95 and 1,961.19

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Solution

The fourth proportional to 6,343.36, 9,515.95 and 1,961.19 is: 2,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.36 : 9,515.95 = 1,961.19 : x
  2. Step 2: Convert to fraction form
    6,343.36/9,515.95 = 1,961.19/x
  3. Step 3: Cross multiply
    6,343.36x = 9,515.95 × 1,961.19
  4. Step 4: Simplify right side
    6,343.36x = 18,662,581.08
  5. Step 5: Solve for x
    x = 18,662,581.08/6,343.36
  6. Step 6: Final answer
    x = 2,942.07

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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.