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Finding the Fourth Proportional to 6,497.87, 8,911.89 and 6,229.98

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Solution

The fourth proportional to 6,497.87, 8,911.89 and 6,229.98 is: 8,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.87 : 8,911.89 = 6,229.98 : x
  2. Step 2: Convert to fraction form
    6,497.87/8,911.89 = 6,229.98/x
  3. Step 3: Cross multiply
    6,497.87x = 8,911.89 × 6,229.98
  4. Step 4: Simplify right side
    6,497.87x = 55,520,896.46
  5. Step 5: Solve for x
    x = 55,520,896.46/6,497.87
  6. Step 6: Final answer
    x = 8,544.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.