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Finding the Fourth Proportional to 6,205.17, 8,571.86 and 5,644.65

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Solution

The fourth proportional to 6,205.17, 8,571.86 and 5,644.65 is: 7,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.17 : 8,571.86 = 5,644.65 : x
  2. Step 2: Convert to fraction form
    6,205.17/8,571.86 = 5,644.65/x
  3. Step 3: Cross multiply
    6,205.17x = 8,571.86 × 5,644.65
  4. Step 4: Simplify right side
    6,205.17x = 48,385,174.64
  5. Step 5: Solve for x
    x = 48,385,174.64/6,205.17
  6. Step 6: Final answer
    x = 7,797.55

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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.