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Finding the Fourth Proportional to 6,249.82, 9,370.06 and 3,784.04

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Solution

The fourth proportional to 6,249.82, 9,370.06 and 3,784.04 is: 5,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.82 : 9,370.06 = 3,784.04 : x
  2. Step 2: Convert to fraction form
    6,249.82/9,370.06 = 3,784.04/x
  3. Step 3: Cross multiply
    6,249.82x = 9,370.06 × 3,784.04
  4. Step 4: Simplify right side
    6,249.82x = 35,456,681.84
  5. Step 5: Solve for x
    x = 35,456,681.84/6,249.82
  6. Step 6: Final answer
    x = 5,673.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.