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Finding the Fourth Proportional to 6,192.60, 9,289.84 and 2,244.16

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Solution

The fourth proportional to 6,192.60, 9,289.84 and 2,244.16 is: 3,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.60 : 9,289.84 = 2,244.16 : x
  2. Step 2: Convert to fraction form
    6,192.60/9,289.84 = 2,244.16/x
  3. Step 3: Cross multiply
    6,192.60x = 9,289.84 × 2,244.16
  4. Step 4: Simplify right side
    6,192.60x = 20,847,845.29
  5. Step 5: Solve for x
    x = 20,847,845.29/6,192.60
  6. Step 6: Final answer
    x = 3,366.57

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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.