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Finding the Fourth Proportional to 6,163.16, 9,244.41 and 5,477.69

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Solution

The fourth proportional to 6,163.16, 9,244.41 and 5,477.69 is: 8,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.16 : 9,244.41 = 5,477.69 : x
  2. Step 2: Convert to fraction form
    6,163.16/9,244.41 = 5,477.69/x
  3. Step 3: Cross multiply
    6,163.16x = 9,244.41 × 5,477.69
  4. Step 4: Simplify right side
    6,163.16x = 50,637,965.99
  5. Step 5: Solve for x
    x = 50,637,965.99/6,163.16
  6. Step 6: Final answer
    x = 8,216.24

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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.