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Finding the Fourth Proportional to 6,849.69, 9,452.56 and 3,705.87

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Solution

The fourth proportional to 6,849.69, 9,452.56 and 3,705.87 is: 5,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.69 : 9,452.56 = 3,705.87 : x
  2. Step 2: Convert to fraction form
    6,849.69/9,452.56 = 3,705.87/x
  3. Step 3: Cross multiply
    6,849.69x = 9,452.56 × 3,705.87
  4. Step 4: Simplify right side
    6,849.69x = 35,029,958.53
  5. Step 5: Solve for x
    x = 35,029,958.53/6,849.69
  6. Step 6: Final answer
    x = 5,114.09

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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.