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Finding the Fourth Proportional to 6,114.20, 9,163.20 and 5,417.60

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Solution

The fourth proportional to 6,114.20, 9,163.20 and 5,417.60 is: 8,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.20 : 9,163.20 = 5,417.60 : x
  2. Step 2: Convert to fraction form
    6,114.20/9,163.20 = 5,417.60/x
  3. Step 3: Cross multiply
    6,114.20x = 9,163.20 × 5,417.60
  4. Step 4: Simplify right side
    6,114.20x = 49,642,552.32
  5. Step 5: Solve for x
    x = 49,642,552.32/6,114.20
  6. Step 6: Final answer
    x = 8,119.22

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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.