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Finding the Fourth Proportional to 9,962.22, 13,754.52 and 8,082.30

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Solution

The fourth proportional to 9,962.22, 13,754.52 and 8,082.30 is: 11,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.22 : 13,754.52 = 8,082.30 : x
  2. Step 2: Convert to fraction form
    9,962.22/13,754.52 = 8,082.30/x
  3. Step 3: Cross multiply
    9,962.22x = 13,754.52 × 8,082.30
  4. Step 4: Simplify right side
    9,962.22x = 111,168,157.00
  5. Step 5: Solve for x
    x = 111,168,157.00/9,962.22
  6. Step 6: Final answer
    x = 11,158.97

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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.