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Finding the Fourth Proportional to 9,711.14, 14,552.73 and 4,163

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Solution

The fourth proportional to 9,711.14, 14,552.73 and 4,163 is: 6,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.14 : 14,552.73 = 4,163 : x
  2. Step 2: Convert to fraction form
    9,711.14/14,552.73 = 4,163/x
  3. Step 3: Cross multiply
    9,711.14x = 14,552.73 × 4,163
  4. Step 4: Simplify right side
    9,711.14x = 60,583,014.99
  5. Step 5: Solve for x
    x = 60,583,014.99/9,711.14
  6. Step 6: Final answer
    x = 6,238.51

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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.