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Finding the Fourth Proportional to 6,234.42, 8,640.66 and 6,117.78

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Solution

The fourth proportional to 6,234.42, 8,640.66 and 6,117.78 is: 8,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.42 : 8,640.66 = 6,117.78 : x
  2. Step 2: Convert to fraction form
    6,234.42/8,640.66 = 6,117.78/x
  3. Step 3: Cross multiply
    6,234.42x = 8,640.66 × 6,117.78
  4. Step 4: Simplify right side
    6,234.42x = 52,861,626.35
  5. Step 5: Solve for x
    x = 52,861,626.35/6,234.42
  6. Step 6: Final answer
    x = 8,479.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.