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Finding the Fourth Proportional to 6,105.60, 9,162.72 and 3,473.28

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Solution

The fourth proportional to 6,105.60, 9,162.72 and 3,473.28 is: 5,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.60 : 9,162.72 = 3,473.28 : x
  2. Step 2: Convert to fraction form
    6,105.60/9,162.72 = 3,473.28/x
  3. Step 3: Cross multiply
    6,105.60x = 9,162.72 × 3,473.28
  4. Step 4: Simplify right side
    6,105.60x = 31,824,692.12
  5. Step 5: Solve for x
    x = 31,824,692.12/6,105.60
  6. Step 6: Final answer
    x = 5,212.38

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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.