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Finding the Fourth Proportional to 6,282.75, 9,409.77 and 2,998.15

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Solution

The fourth proportional to 6,282.75, 9,409.77 and 2,998.15 is: 4,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.75 : 9,409.77 = 2,998.15 : x
  2. Step 2: Convert to fraction form
    6,282.75/9,409.77 = 2,998.15/x
  3. Step 3: Cross multiply
    6,282.75x = 9,409.77 × 2,998.15
  4. Step 4: Simplify right side
    6,282.75x = 28,211,930.75
  5. Step 5: Solve for x
    x = 28,211,930.75/6,282.75
  6. Step 6: Final answer
    x = 4,490.38

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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.