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Finding the Fourth Proportional to 6,524.65, 9,786.02 and 2,142.15

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Solution

The fourth proportional to 6,524.65, 9,786.02 and 2,142.15 is: 3,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.65 : 9,786.02 = 2,142.15 : x
  2. Step 2: Convert to fraction form
    6,524.65/9,786.02 = 2,142.15/x
  3. Step 3: Cross multiply
    6,524.65x = 9,786.02 × 2,142.15
  4. Step 4: Simplify right side
    6,524.65x = 20,963,075.33
  5. Step 5: Solve for x
    x = 20,963,075.33/6,524.65
  6. Step 6: Final answer
    x = 3,212.90

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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.