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Finding the Fourth Proportional to 6,571.94, 9,846.90 and 4,620.65

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Solution

The fourth proportional to 6,571.94, 9,846.90 and 4,620.65 is: 6,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.94 : 9,846.90 = 4,620.65 : x
  2. Step 2: Convert to fraction form
    6,571.94/9,846.90 = 4,620.65/x
  3. Step 3: Cross multiply
    6,571.94x = 9,846.90 × 4,620.65
  4. Step 4: Simplify right side
    6,571.94x = 45,499,029.25
  5. Step 5: Solve for x
    x = 45,499,029.25/6,571.94
  6. Step 6: Final answer
    x = 6,923.23

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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.