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Finding the Fourth Proportional to 6,908, 9,533.22 and 3,923.72

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Solution

The fourth proportional to 6,908, 9,533.22 and 3,923.72 is: 5,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908 : 9,533.22 = 3,923.72 : x
  2. Step 2: Convert to fraction form
    6,908/9,533.22 = 3,923.72/x
  3. Step 3: Cross multiply
    6,908x = 9,533.22 × 3,923.72
  4. Step 4: Simplify right side
    6,908x = 37,405,685.98
  5. Step 5: Solve for x
    x = 37,405,685.98/6,908
  6. Step 6: Final answer
    x = 5,414.84

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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.