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Finding the Fourth Proportional to 6,199.74, 9,282.60 and 4,694.40

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Solution

The fourth proportional to 6,199.74, 9,282.60 and 4,694.40 is: 7,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.74 : 9,282.60 = 4,694.40 : x
  2. Step 2: Convert to fraction form
    6,199.74/9,282.60 = 4,694.40/x
  3. Step 3: Cross multiply
    6,199.74x = 9,282.60 × 4,694.40
  4. Step 4: Simplify right side
    6,199.74x = 43,576,237.44
  5. Step 5: Solve for x
    x = 43,576,237.44/6,199.74
  6. Step 6: Final answer
    x = 7,028.72

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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.