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Finding the Fourth Proportional to 6,174.36, 9,249.78 and 3,670.23

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Solution

The fourth proportional to 6,174.36, 9,249.78 and 3,670.23 is: 5,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.36 : 9,249.78 = 3,670.23 : x
  2. Step 2: Convert to fraction form
    6,174.36/9,249.78 = 3,670.23/x
  3. Step 3: Cross multiply
    6,174.36x = 9,249.78 × 3,670.23
  4. Step 4: Simplify right side
    6,174.36x = 33,948,820.05
  5. Step 5: Solve for x
    x = 33,948,820.05/6,174.36
  6. Step 6: Final answer
    x = 5,498.35

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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.