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Finding the Fourth Proportional to 6,722.85, 9,277.77 and 3,738.81

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Solution

The fourth proportional to 6,722.85, 9,277.77 and 3,738.81 is: 5,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.85 : 9,277.77 = 3,738.81 : x
  2. Step 2: Convert to fraction form
    6,722.85/9,277.77 = 3,738.81/x
  3. Step 3: Cross multiply
    6,722.85x = 9,277.77 × 3,738.81
  4. Step 4: Simplify right side
    6,722.85x = 34,687,819.25
  5. Step 5: Solve for x
    x = 34,687,819.25/6,722.85
  6. Step 6: Final answer
    x = 5,159.69

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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.