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Finding the Fourth Proportional to 9,351.99, 13,936.84 and 9,082.10

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Solution

The fourth proportional to 9,351.99, 13,936.84 and 9,082.10 is: 13,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.99 : 13,936.84 = 9,082.10 : x
  2. Step 2: Convert to fraction form
    9,351.99/13,936.84 = 9,082.10/x
  3. Step 3: Cross multiply
    9,351.99x = 13,936.84 × 9,082.10
  4. Step 4: Simplify right side
    9,351.99x = 126,575,786.70
  5. Step 5: Solve for x
    x = 126,575,786.70/9,351.99
  6. Step 6: Final answer
    x = 13,534.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.