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Finding the Fourth Proportional to 6,849.86, 9,452.86 and 3,706.04

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Solution

The fourth proportional to 6,849.86, 9,452.86 and 3,706.04 is: 5,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.86 : 9,452.86 = 3,706.04 : x
  2. Step 2: Convert to fraction form
    6,849.86/9,452.86 = 3,706.04/x
  3. Step 3: Cross multiply
    6,849.86x = 9,452.86 × 3,706.04
  4. Step 4: Simplify right side
    6,849.86x = 35,032,677.27
  5. Step 5: Solve for x
    x = 35,032,677.27/6,849.86
  6. Step 6: Final answer
    x = 5,114.36

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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.