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Finding the Fourth Proportional to 9,082.30, 12,539.16 and 7,201.48

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Solution

The fourth proportional to 9,082.30, 12,539.16 and 7,201.48 is: 9,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.30 : 12,539.16 = 7,201.48 : x
  2. Step 2: Convert to fraction form
    9,082.30/12,539.16 = 7,201.48/x
  3. Step 3: Cross multiply
    9,082.30x = 12,539.16 × 7,201.48
  4. Step 4: Simplify right side
    9,082.30x = 90,300,447.26
  5. Step 5: Solve for x
    x = 90,300,447.26/9,082.30
  6. Step 6: Final answer
    x = 9,942.47

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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.