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Finding the Fourth Proportional to 6,423.85, 9,620.38 and 3,295.63

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Solution

The fourth proportional to 6,423.85, 9,620.38 and 3,295.63 is: 4,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.85 : 9,620.38 = 3,295.63 : x
  2. Step 2: Convert to fraction form
    6,423.85/9,620.38 = 3,295.63/x
  3. Step 3: Cross multiply
    6,423.85x = 9,620.38 × 3,295.63
  4. Step 4: Simplify right side
    6,423.85x = 31,705,212.94
  5. Step 5: Solve for x
    x = 31,705,212.94/6,423.85
  6. Step 6: Final answer
    x = 4,935.55

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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.