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Finding the Fourth Proportional to 7,204.85, 9,940.41 and 5,687.62

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Solution

The fourth proportional to 7,204.85, 9,940.41 and 5,687.62 is: 7,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.85 : 9,940.41 = 5,687.62 : x
  2. Step 2: Convert to fraction form
    7,204.85/9,940.41 = 5,687.62/x
  3. Step 3: Cross multiply
    7,204.85x = 9,940.41 × 5,687.62
  4. Step 4: Simplify right side
    7,204.85x = 56,537,274.72
  5. Step 5: Solve for x
    x = 56,537,274.72/7,204.85
  6. Step 6: Final answer
    x = 7,847.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.