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Finding the Fourth Proportional to 6,712.69, 9,263.63 and 3,728.80

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Solution

The fourth proportional to 6,712.69, 9,263.63 and 3,728.80 is: 5,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.69 : 9,263.63 = 3,728.80 : x
  2. Step 2: Convert to fraction form
    6,712.69/9,263.63 = 3,728.80/x
  3. Step 3: Cross multiply
    6,712.69x = 9,263.63 × 3,728.80
  4. Step 4: Simplify right side
    6,712.69x = 34,542,223.54
  5. Step 5: Solve for x
    x = 34,542,223.54/6,712.69
  6. Step 6: Final answer
    x = 5,145.81

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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.