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Finding the Fourth Proportional to 6,846.75, 9,448.95 and 3,861.49

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Solution

The fourth proportional to 6,846.75, 9,448.95 and 3,861.49 is: 5,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.75 : 9,448.95 = 3,861.49 : x
  2. Step 2: Convert to fraction form
    6,846.75/9,448.95 = 3,861.49/x
  3. Step 3: Cross multiply
    6,846.75x = 9,448.95 × 3,861.49
  4. Step 4: Simplify right side
    6,846.75x = 36,487,025.94
  5. Step 5: Solve for x
    x = 36,487,025.94/6,846.75
  6. Step 6: Final answer
    x = 5,329.11

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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.