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Finding the Fourth Proportional to 6,380.94, 9,571.41 and 2,488.08

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Solution

The fourth proportional to 6,380.94, 9,571.41 and 2,488.08 is: 3,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.94 : 9,571.41 = 2,488.08 : x
  2. Step 2: Convert to fraction form
    6,380.94/9,571.41 = 2,488.08/x
  3. Step 3: Cross multiply
    6,380.94x = 9,571.41 × 2,488.08
  4. Step 4: Simplify right side
    6,380.94x = 23,814,421.35
  5. Step 5: Solve for x
    x = 23,814,421.35/6,380.94
  6. Step 6: Final answer
    x = 3,732.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.