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Finding the Fourth Proportional to 6,423.32, 9,640.46 and 4,578.95

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Solution

The fourth proportional to 6,423.32, 9,640.46 and 4,578.95 is: 6,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.32 : 9,640.46 = 4,578.95 : x
  2. Step 2: Convert to fraction form
    6,423.32/9,640.46 = 4,578.95/x
  3. Step 3: Cross multiply
    6,423.32x = 9,640.46 × 4,578.95
  4. Step 4: Simplify right side
    6,423.32x = 44,143,219.87
  5. Step 5: Solve for x
    x = 44,143,219.87/6,423.32
  6. Step 6: Final answer
    x = 6,872.33

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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.