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Finding the Fourth Proportional to 10,217.69, 14,101.72 and 6,237.95

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Solution

The fourth proportional to 10,217.69, 14,101.72 and 6,237.95 is: 8,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.69 : 14,101.72 = 6,237.95 : x
  2. Step 2: Convert to fraction form
    10,217.69/14,101.72 = 6,237.95/x
  3. Step 3: Cross multiply
    10,217.69x = 14,101.72 × 6,237.95
  4. Step 4: Simplify right side
    10,217.69x = 87,965,793.08
  5. Step 5: Solve for x
    x = 87,965,793.08/10,217.69
  6. Step 6: Final answer
    x = 8,609.17

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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.