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Finding the Fourth Proportional to 6,812.45, 9,400.60 and 3,828.05

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Solution

The fourth proportional to 6,812.45, 9,400.60 and 3,828.05 is: 5,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.45 : 9,400.60 = 3,828.05 : x
  2. Step 2: Convert to fraction form
    6,812.45/9,400.60 = 3,828.05/x
  3. Step 3: Cross multiply
    6,812.45x = 9,400.60 × 3,828.05
  4. Step 4: Simplify right side
    6,812.45x = 35,985,966.83
  5. Step 5: Solve for x
    x = 35,985,966.83/6,812.45
  6. Step 6: Final answer
    x = 5,282.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.