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Finding the Fourth Proportional to 9,322.26, 13,984.74 and 3,082.92

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Solution

The fourth proportional to 9,322.26, 13,984.74 and 3,082.92 is: 4,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.26 : 13,984.74 = 3,082.92 : x
  2. Step 2: Convert to fraction form
    9,322.26/13,984.74 = 3,082.92/x
  3. Step 3: Cross multiply
    9,322.26x = 13,984.74 × 3,082.92
  4. Step 4: Simplify right side
    9,322.26x = 43,113,834.64
  5. Step 5: Solve for x
    x = 43,113,834.64/9,322.26
  6. Step 6: Final answer
    x = 4,624.83

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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.