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Finding the Fourth Proportional to 9,082.15, 13,601.69 and 5,785.25

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Solution

The fourth proportional to 9,082.15, 13,601.69 and 5,785.25 is: 8,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.15 : 13,601.69 = 5,785.25 : x
  2. Step 2: Convert to fraction form
    9,082.15/13,601.69 = 5,785.25/x
  3. Step 3: Cross multiply
    9,082.15x = 13,601.69 × 5,785.25
  4. Step 4: Simplify right side
    9,082.15x = 78,689,109.06
  5. Step 5: Solve for x
    x = 78,689,109.06/9,082.15
  6. Step 6: Final answer
    x = 8,664.15

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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.