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Finding the Fourth Proportional to 6,105.56, 9,158.32 and 3,189.56

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Solution

The fourth proportional to 6,105.56, 9,158.32 and 3,189.56 is: 4,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.56 : 9,158.32 = 3,189.56 : x
  2. Step 2: Convert to fraction form
    6,105.56/9,158.32 = 3,189.56/x
  3. Step 3: Cross multiply
    6,105.56x = 9,158.32 × 3,189.56
  4. Step 4: Simplify right side
    6,105.56x = 29,211,011.14
  5. Step 5: Solve for x
    x = 29,211,011.14/6,105.56
  6. Step 6: Final answer
    x = 4,784.33

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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.