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Finding the Fourth Proportional to 9,082.84, 13,620.80 and 3,535.48

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Solution

The fourth proportional to 9,082.84, 13,620.80 and 3,535.48 is: 5,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.84 : 13,620.80 = 3,535.48 : x
  2. Step 2: Convert to fraction form
    9,082.84/13,620.80 = 3,535.48/x
  3. Step 3: Cross multiply
    9,082.84x = 13,620.80 × 3,535.48
  4. Step 4: Simplify right side
    9,082.84x = 48,156,065.98
  5. Step 5: Solve for x
    x = 48,156,065.98/9,082.84
  6. Step 6: Final answer
    x = 5,301.87

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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.