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Finding the Fourth Proportional to 6,238.71, 9,358.08 and 3,388.32

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Solution

The fourth proportional to 6,238.71, 9,358.08 and 3,388.32 is: 5,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.71 : 9,358.08 = 3,388.32 : x
  2. Step 2: Convert to fraction form
    6,238.71/9,358.08 = 3,388.32/x
  3. Step 3: Cross multiply
    6,238.71x = 9,358.08 × 3,388.32
  4. Step 4: Simplify right side
    6,238.71x = 31,708,169.63
  5. Step 5: Solve for x
    x = 31,708,169.63/6,238.71
  6. Step 6: Final answer
    x = 5,082.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.