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Finding the Fourth Proportional to 6,849.84, 9,452.82 and 3,783.78

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Solution

The fourth proportional to 6,849.84, 9,452.82 and 3,783.78 is: 5,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.84 : 9,452.82 = 3,783.78 : x
  2. Step 2: Convert to fraction form
    6,849.84/9,452.82 = 3,783.78/x
  3. Step 3: Cross multiply
    6,849.84x = 9,452.82 × 3,783.78
  4. Step 4: Simplify right side
    6,849.84x = 35,767,391.26
  5. Step 5: Solve for x
    x = 35,767,391.26/6,849.84
  6. Step 6: Final answer
    x = 5,221.64

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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.