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Finding the Fourth Proportional to 7,015.94, 9,682.00 and 3,872.13

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Solution

The fourth proportional to 7,015.94, 9,682.00 and 3,872.13 is: 5,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.94 : 9,682.00 = 3,872.13 : x
  2. Step 2: Convert to fraction form
    7,015.94/9,682.00 = 3,872.13/x
  3. Step 3: Cross multiply
    7,015.94x = 9,682.00 × 3,872.13
  4. Step 4: Simplify right side
    7,015.94x = 37,489,952.98
  5. Step 5: Solve for x
    x = 37,489,952.98/7,015.94
  6. Step 6: Final answer
    x = 5,343.54

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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.