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Finding the Fourth Proportional to 6,849.96, 9,452.97 and 3,866.58

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Solution

The fourth proportional to 6,849.96, 9,452.97 and 3,866.58 is: 5,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.96 : 9,452.97 = 3,866.58 : x
  2. Step 2: Convert to fraction form
    6,849.96/9,452.97 = 3,866.58/x
  3. Step 3: Cross multiply
    6,849.96x = 9,452.97 × 3,866.58
  4. Step 4: Simplify right side
    6,849.96x = 36,550,664.74
  5. Step 5: Solve for x
    x = 36,550,664.74/6,849.96
  6. Step 6: Final answer
    x = 5,335.89

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