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Finding the Fourth Proportional to 6,908.35, 9,533.43 and 3,924.16

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Solution

The fourth proportional to 6,908.35, 9,533.43 and 3,924.16 is: 5,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.35 : 9,533.43 = 3,924.16 : x
  2. Step 2: Convert to fraction form
    6,908.35/9,533.43 = 3,924.16/x
  3. Step 3: Cross multiply
    6,908.35x = 9,533.43 × 3,924.16
  4. Step 4: Simplify right side
    6,908.35x = 37,410,704.67
  5. Step 5: Solve for x
    x = 37,410,704.67/6,908.35
  6. Step 6: Final answer
    x = 5,415.29

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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.