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Finding the Fourth Proportional to 6,722.33, 9,276.40 and 3,738.05

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Solution

The fourth proportional to 6,722.33, 9,276.40 and 3,738.05 is: 5,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.33 : 9,276.40 = 3,738.05 : x
  2. Step 2: Convert to fraction form
    6,722.33/9,276.40 = 3,738.05/x
  3. Step 3: Cross multiply
    6,722.33x = 9,276.40 × 3,738.05
  4. Step 4: Simplify right side
    6,722.33x = 34,675,628.33
  5. Step 5: Solve for x
    x = 34,675,628.33/6,722.33
  6. Step 6: Final answer
    x = 5,158.28

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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.