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Finding the Fourth Proportional to 9,082.82, 13,624.83 and 3,535.80

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Solution

The fourth proportional to 9,082.82, 13,624.83 and 3,535.80 is: 5,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.82 : 13,624.83 = 3,535.80 : x
  2. Step 2: Convert to fraction form
    9,082.82/13,624.83 = 3,535.80/x
  3. Step 3: Cross multiply
    9,082.82x = 13,624.83 × 3,535.80
  4. Step 4: Simplify right side
    9,082.82x = 48,174,673.91
  5. Step 5: Solve for x
    x = 48,174,673.91/9,082.82
  6. Step 6: Final answer
    x = 5,303.94

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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.