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Finding the Fourth Proportional to 9,410.25, 14,162.64 and 7,082.31

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Solution

The fourth proportional to 9,410.25, 14,162.64 and 7,082.31 is: 10,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.25 : 14,162.64 = 7,082.31 : x
  2. Step 2: Convert to fraction form
    9,410.25/14,162.64 = 7,082.31/x
  3. Step 3: Cross multiply
    9,410.25x = 14,162.64 × 7,082.31
  4. Step 4: Simplify right side
    9,410.25x = 100,304,206.90
  5. Step 5: Solve for x
    x = 100,304,206.90/9,410.25
  6. Step 6: Final answer
    x = 10,659.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.