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Finding the Fourth Proportional to 6,833.31, 9,430 and 3,849.18

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Solution

The fourth proportional to 6,833.31, 9,430 and 3,849.18 is: 5,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.31 : 9,430 = 3,849.18 : x
  2. Step 2: Convert to fraction form
    6,833.31/9,430 = 3,849.18/x
  3. Step 3: Cross multiply
    6,833.31x = 9,430 × 3,849.18
  4. Step 4: Simplify right side
    6,833.31x = 36,297,767.40
  5. Step 5: Solve for x
    x = 36,297,767.40/6,833.31
  6. Step 6: Final answer
    x = 5,311.89

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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.