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Finding the Fourth Proportional to 6,378.20, 9,571.68 and 2,482.64

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Solution

The fourth proportional to 6,378.20, 9,571.68 and 2,482.64 is: 3,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.20 : 9,571.68 = 2,482.64 : x
  2. Step 2: Convert to fraction form
    6,378.20/9,571.68 = 2,482.64/x
  3. Step 3: Cross multiply
    6,378.20x = 9,571.68 × 2,482.64
  4. Step 4: Simplify right side
    6,378.20x = 23,763,035.64
  5. Step 5: Solve for x
    x = 23,763,035.64/6,378.20
  6. Step 6: Final answer
    x = 3,725.66

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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.