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Finding the Fourth Proportional to 6,123.85, 8,448.83 and 4,234.73

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Solution

The fourth proportional to 6,123.85, 8,448.83 and 4,234.73 is: 5,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.85 : 8,448.83 = 4,234.73 : x
  2. Step 2: Convert to fraction form
    6,123.85/8,448.83 = 4,234.73/x
  3. Step 3: Cross multiply
    6,123.85x = 8,448.83 × 4,234.73
  4. Step 4: Simplify right side
    6,123.85x = 35,778,450.45
  5. Step 5: Solve for x
    x = 35,778,450.45/6,123.85
  6. Step 6: Final answer
    x = 5,842.48

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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.