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Finding the Fourth Proportional to 6,885.87, 9,502.36 and 3,742.08

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Solution

The fourth proportional to 6,885.87, 9,502.36 and 3,742.08 is: 5,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.87 : 9,502.36 = 3,742.08 : x
  2. Step 2: Convert to fraction form
    6,885.87/9,502.36 = 3,742.08/x
  3. Step 3: Cross multiply
    6,885.87x = 9,502.36 × 3,742.08
  4. Step 4: Simplify right side
    6,885.87x = 35,558,591.31
  5. Step 5: Solve for x
    x = 35,558,591.31/6,885.87
  6. Step 6: Final answer
    x = 5,163.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.