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Finding the Fourth Proportional to 6,937.91, 10,406.85 and 3,238.09

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Solution

The fourth proportional to 6,937.91, 10,406.85 and 3,238.09 is: 4,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.91 : 10,406.85 = 3,238.09 : x
  2. Step 2: Convert to fraction form
    6,937.91/10,406.85 = 3,238.09/x
  3. Step 3: Cross multiply
    6,937.91x = 10,406.85 × 3,238.09
  4. Step 4: Simplify right side
    6,937.91x = 33,698,278.76
  5. Step 5: Solve for x
    x = 33,698,278.76/6,937.91
  6. Step 6: Final answer
    x = 4,857.12

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