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Finding the Fourth Proportional to 9,451.26, 14,168.68 and 6,812.28

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Solution

The fourth proportional to 9,451.26, 14,168.68 and 6,812.28 is: 10,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.26 : 14,168.68 = 6,812.28 : x
  2. Step 2: Convert to fraction form
    9,451.26/14,168.68 = 6,812.28/x
  3. Step 3: Cross multiply
    9,451.26x = 14,168.68 × 6,812.28
  4. Step 4: Simplify right side
    9,451.26x = 96,521,015.39
  5. Step 5: Solve for x
    x = 96,521,015.39/9,451.26
  6. Step 6: Final answer
    x = 10,212.50

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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.