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Finding the Fourth Proportional to 6,908.08, 9,533.26 and 3,924

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Solution

The fourth proportional to 6,908.08, 9,533.26 and 3,924 is: 5,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.08 : 9,533.26 = 3,924 : x
  2. Step 2: Convert to fraction form
    6,908.08/9,533.26 = 3,924/x
  3. Step 3: Cross multiply
    6,908.08x = 9,533.26 × 3,924
  4. Step 4: Simplify right side
    6,908.08x = 37,408,512.24
  5. Step 5: Solve for x
    x = 37,408,512.24/6,908.08
  6. Step 6: Final answer
    x = 5,415.18

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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.