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Finding the Fourth Proportional to 6,109.48, 9,169.62 and 4,023.64

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Solution

The fourth proportional to 6,109.48, 9,169.62 and 4,023.64 is: 6,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.48 : 9,169.62 = 4,023.64 : x
  2. Step 2: Convert to fraction form
    6,109.48/9,169.62 = 4,023.64/x
  3. Step 3: Cross multiply
    6,109.48x = 9,169.62 × 4,023.64
  4. Step 4: Simplify right side
    6,109.48x = 36,895,249.82
  5. Step 5: Solve for x
    x = 36,895,249.82/6,109.48
  6. Step 6: Final answer
    x = 6,039.02

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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.