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Finding the Fourth Proportional to 6,735.56, 9,292.86 and 4,081.96

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Solution

The fourth proportional to 6,735.56, 9,292.86 and 4,081.96 is: 5,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.56 : 9,292.86 = 4,081.96 : x
  2. Step 2: Convert to fraction form
    6,735.56/9,292.86 = 4,081.96/x
  3. Step 3: Cross multiply
    6,735.56x = 9,292.86 × 4,081.96
  4. Step 4: Simplify right side
    6,735.56x = 37,933,082.81
  5. Step 5: Solve for x
    x = 37,933,082.81/6,735.56
  6. Step 6: Final answer
    x = 5,631.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.