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Finding the Fourth Proportional to 6,744.54, 10,123.98 and 5,969.46

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Solution

The fourth proportional to 6,744.54, 10,123.98 and 5,969.46 is: 8,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.54 : 10,123.98 = 5,969.46 : x
  2. Step 2: Convert to fraction form
    6,744.54/10,123.98 = 5,969.46/x
  3. Step 3: Cross multiply
    6,744.54x = 10,123.98 × 5,969.46
  4. Step 4: Simplify right side
    6,744.54x = 60,434,693.65
  5. Step 5: Solve for x
    x = 60,434,693.65/6,744.54
  6. Step 6: Final answer
    x = 8,960.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.