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Finding the Fourth Proportional to 9,082.53, 13,613.67 and 3,533.22

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Solution

The fourth proportional to 9,082.53, 13,613.67 and 3,533.22 is: 5,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.53 : 13,613.67 = 3,533.22 : x
  2. Step 2: Convert to fraction form
    9,082.53/13,613.67 = 3,533.22/x
  3. Step 3: Cross multiply
    9,082.53x = 13,613.67 × 3,533.22
  4. Step 4: Simplify right side
    9,082.53x = 48,100,091.12
  5. Step 5: Solve for x
    x = 48,100,091.12/9,082.53
  6. Step 6: Final answer
    x = 5,295.89

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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.