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Finding the Fourth Proportional to 9,814.87, 14,717.34 and 3,238.88

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Solution

The fourth proportional to 9,814.87, 14,717.34 and 3,238.88 is: 4,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.87 : 14,717.34 = 3,238.88 : x
  2. Step 2: Convert to fraction form
    9,814.87/14,717.34 = 3,238.88/x
  3. Step 3: Cross multiply
    9,814.87x = 14,717.34 × 3,238.88
  4. Step 4: Simplify right side
    9,814.87x = 47,667,698.18
  5. Step 5: Solve for x
    x = 47,667,698.18/9,814.87
  6. Step 6: Final answer
    x = 4,856.68

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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.