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Finding the Fourth Proportional to 6,722.90, 9,278.06 and 3,739.27

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Solution

The fourth proportional to 6,722.90, 9,278.06 and 3,739.27 is: 5,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.90 : 9,278.06 = 3,739.27 : x
  2. Step 2: Convert to fraction form
    6,722.90/9,278.06 = 3,739.27/x
  3. Step 3: Cross multiply
    6,722.90x = 9,278.06 × 3,739.27
  4. Step 4: Simplify right side
    6,722.90x = 34,693,129.52
  5. Step 5: Solve for x
    x = 34,693,129.52/6,722.90
  6. Step 6: Final answer
    x = 5,160.44

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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.