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Finding the Fourth Proportional to 6,185.98, 9,276.99 and 2,024.86

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Solution

The fourth proportional to 6,185.98, 9,276.99 and 2,024.86 is: 3,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.98 : 9,276.99 = 2,024.86 : x
  2. Step 2: Convert to fraction form
    6,185.98/9,276.99 = 2,024.86/x
  3. Step 3: Cross multiply
    6,185.98x = 9,276.99 × 2,024.86
  4. Step 4: Simplify right side
    6,185.98x = 18,784,605.97
  5. Step 5: Solve for x
    x = 18,784,605.97/6,185.98
  6. Step 6: Final answer
    x = 3,036.64

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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.