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Finding the Fourth Proportional to 9,476.77, 13,082.14 and 6,121.22

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Solution

The fourth proportional to 9,476.77, 13,082.14 and 6,121.22 is: 8,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.77 : 13,082.14 = 6,121.22 : x
  2. Step 2: Convert to fraction form
    9,476.77/13,082.14 = 6,121.22/x
  3. Step 3: Cross multiply
    9,476.77x = 13,082.14 × 6,121.22
  4. Step 4: Simplify right side
    9,476.77x = 80,078,576.30
  5. Step 5: Solve for x
    x = 80,078,576.30/9,476.77
  6. Step 6: Final answer
    x = 8,449.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.