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Finding the Fourth Proportional to 6,833.36, 9,430.22 and 3,849.02

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Solution

The fourth proportional to 6,833.36, 9,430.22 and 3,849.02 is: 5,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.36 : 9,430.22 = 3,849.02 : x
  2. Step 2: Convert to fraction form
    6,833.36/9,430.22 = 3,849.02/x
  3. Step 3: Cross multiply
    6,833.36x = 9,430.22 × 3,849.02
  4. Step 4: Simplify right side
    6,833.36x = 36,297,103.22
  5. Step 5: Solve for x
    x = 36,297,103.22/6,833.36
  6. Step 6: Final answer
    x = 5,311.75

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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.