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Finding the Fourth Proportional to 6,423.32, 9,634.84 and 2,960.57

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Solution

The fourth proportional to 6,423.32, 9,634.84 and 2,960.57 is: 4,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.32 : 9,634.84 = 2,960.57 : x
  2. Step 2: Convert to fraction form
    6,423.32/9,634.84 = 2,960.57/x
  3. Step 3: Cross multiply
    6,423.32x = 9,634.84 × 2,960.57
  4. Step 4: Simplify right side
    6,423.32x = 28,524,609.92
  5. Step 5: Solve for x
    x = 28,524,609.92/6,423.32
  6. Step 6: Final answer
    x = 4,440.79

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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.