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Finding the Fourth Proportional to 6,942.81, 9,571.10 and 4,949.90

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Solution

The fourth proportional to 6,942.81, 9,571.10 and 4,949.90 is: 6,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.81 : 9,571.10 = 4,949.90 : x
  2. Step 2: Convert to fraction form
    6,942.81/9,571.10 = 4,949.90/x
  3. Step 3: Cross multiply
    6,942.81x = 9,571.10 × 4,949.90
  4. Step 4: Simplify right side
    6,942.81x = 47,376,024.19
  5. Step 5: Solve for x
    x = 47,376,024.19/6,942.81
  6. Step 6: Final answer
    x = 6,823.76

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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.