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Finding the Fourth Proportional to 6,744.33, 9,311.50 and 4,355.37

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Solution

The fourth proportional to 6,744.33, 9,311.50 and 4,355.37 is: 6,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.33 : 9,311.50 = 4,355.37 : x
  2. Step 2: Convert to fraction form
    6,744.33/9,311.50 = 4,355.37/x
  3. Step 3: Cross multiply
    6,744.33x = 9,311.50 × 4,355.37
  4. Step 4: Simplify right side
    6,744.33x = 40,555,027.76
  5. Step 5: Solve for x
    x = 40,555,027.76/6,744.33
  6. Step 6: Final answer
    x = 6,013.20

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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.