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Finding the Fourth Proportional to 6,813.86, 9,400.46 and 3,829.01

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Solution

The fourth proportional to 6,813.86, 9,400.46 and 3,829.01 is: 5,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.86 : 9,400.46 = 3,829.01 : x
  2. Step 2: Convert to fraction form
    6,813.86/9,400.46 = 3,829.01/x
  3. Step 3: Cross multiply
    6,813.86x = 9,400.46 × 3,829.01
  4. Step 4: Simplify right side
    6,813.86x = 35,994,389.20
  5. Step 5: Solve for x
    x = 35,994,389.20/6,813.86
  6. Step 6: Final answer
    x = 5,282.53

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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.