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Finding the Fourth Proportional to 9,082.63, 12,536.40 and 5,105.02

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Solution

The fourth proportional to 9,082.63, 12,536.40 and 5,105.02 is: 7,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.63 : 12,536.40 = 5,105.02 : x
  2. Step 2: Convert to fraction form
    9,082.63/12,536.40 = 5,105.02/x
  3. Step 3: Cross multiply
    9,082.63x = 12,536.40 × 5,105.02
  4. Step 4: Simplify right side
    9,082.63x = 63,998,572.73
  5. Step 5: Solve for x
    x = 63,998,572.73/9,082.63
  6. Step 6: Final answer
    x = 7,046.26

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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.