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Finding the Fourth Proportional to 6,343.32, 9,515.70 and 1,961.40

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Solution

The fourth proportional to 6,343.32, 9,515.70 and 1,961.40 is: 2,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.32 : 9,515.70 = 1,961.40 : x
  2. Step 2: Convert to fraction form
    6,343.32/9,515.70 = 1,961.40/x
  3. Step 3: Cross multiply
    6,343.32x = 9,515.70 × 1,961.40
  4. Step 4: Simplify right side
    6,343.32x = 18,664,093.98
  5. Step 5: Solve for x
    x = 18,664,093.98/6,343.32
  6. Step 6: Final answer
    x = 2,942.32

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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.