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Finding the Fourth Proportional to 6,190.89, 9,286.24 and 1,510.94

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Solution

The fourth proportional to 6,190.89, 9,286.24 and 1,510.94 is: 2,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.89 : 9,286.24 = 1,510.94 : x
  2. Step 2: Convert to fraction form
    6,190.89/9,286.24 = 1,510.94/x
  3. Step 3: Cross multiply
    6,190.89x = 9,286.24 × 1,510.94
  4. Step 4: Simplify right side
    6,190.89x = 14,030,951.47
  5. Step 5: Solve for x
    x = 14,030,951.47/6,190.89
  6. Step 6: Final answer
    x = 2,266.39

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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.