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Finding the Fourth Proportional to 6,243.16, 9,376.08 and 5,414.80

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Solution

The fourth proportional to 6,243.16, 9,376.08 and 5,414.80 is: 8,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.16 : 9,376.08 = 5,414.80 : x
  2. Step 2: Convert to fraction form
    6,243.16/9,376.08 = 5,414.80/x
  3. Step 3: Cross multiply
    6,243.16x = 9,376.08 × 5,414.80
  4. Step 4: Simplify right side
    6,243.16x = 50,769,597.98
  5. Step 5: Solve for x
    x = 50,769,597.98/6,243.16
  6. Step 6: Final answer
    x = 8,132.04

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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.