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Finding the Fourth Proportional to 6,234.02, 9,349.46 and 1,850.46

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Solution

The fourth proportional to 6,234.02, 9,349.46 and 1,850.46 is: 2,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.02 : 9,349.46 = 1,850.46 : x
  2. Step 2: Convert to fraction form
    6,234.02/9,349.46 = 1,850.46/x
  3. Step 3: Cross multiply
    6,234.02x = 9,349.46 × 1,850.46
  4. Step 4: Simplify right side
    6,234.02x = 17,300,801.75
  5. Step 5: Solve for x
    x = 17,300,801.75/6,234.02
  6. Step 6: Final answer
    x = 2,775.22

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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.