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Finding the Fourth Proportional to 6,381.15, 9,571.71 and 3,477.90

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Solution

The fourth proportional to 6,381.15, 9,571.71 and 3,477.90 is: 5,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.15 : 9,571.71 = 3,477.90 : x
  2. Step 2: Convert to fraction form
    6,381.15/9,571.71 = 3,477.90/x
  3. Step 3: Cross multiply
    6,381.15x = 9,571.71 × 3,477.90
  4. Step 4: Simplify right side
    6,381.15x = 33,289,450.21
  5. Step 5: Solve for x
    x = 33,289,450.21/6,381.15
  6. Step 6: Final answer
    x = 5,216.84

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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.