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Finding the Fourth Proportional to 10,217.94, 14,102.06 and 6,238.20

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Solution

The fourth proportional to 10,217.94, 14,102.06 and 6,238.20 is: 8,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.94 : 14,102.06 = 6,238.20 : x
  2. Step 2: Convert to fraction form
    10,217.94/14,102.06 = 6,238.20/x
  3. Step 3: Cross multiply
    10,217.94x = 14,102.06 × 6,238.20
  4. Step 4: Simplify right side
    10,217.94x = 87,971,470.69
  5. Step 5: Solve for x
    x = 87,971,470.69/10,217.94
  6. Step 6: Final answer
    x = 8,609.51

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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.