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Finding the Fourth Proportional to 9,082.36, 12,533.70 and 5,305.74

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Solution

The fourth proportional to 9,082.36, 12,533.70 and 5,305.74 is: 7,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.36 : 12,533.70 = 5,305.74 : x
  2. Step 2: Convert to fraction form
    9,082.36/12,533.70 = 5,305.74/x
  3. Step 3: Cross multiply
    9,082.36x = 12,533.70 × 5,305.74
  4. Step 4: Simplify right side
    9,082.36x = 66,500,553.44
  5. Step 5: Solve for x
    x = 66,500,553.44/9,082.36
  6. Step 6: Final answer
    x = 7,321.95

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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.