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Finding the Fourth Proportional to 6,908.96, 9,535.36 and 3,924.20

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Solution

The fourth proportional to 6,908.96, 9,535.36 and 3,924.20 is: 5,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.96 : 9,535.36 = 3,924.20 : x
  2. Step 2: Convert to fraction form
    6,908.96/9,535.36 = 3,924.20/x
  3. Step 3: Cross multiply
    6,908.96x = 9,535.36 × 3,924.20
  4. Step 4: Simplify right side
    6,908.96x = 37,418,659.71
  5. Step 5: Solve for x
    x = 37,418,659.71/6,908.96
  6. Step 6: Final answer
    x = 5,415.96

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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.