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Finding the Fourth Proportional to 6,094.14, 9,144.99 and 2,807.70

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Solution

The fourth proportional to 6,094.14, 9,144.99 and 2,807.70 is: 4,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.14 : 9,144.99 = 2,807.70 : x
  2. Step 2: Convert to fraction form
    6,094.14/9,144.99 = 2,807.70/x
  3. Step 3: Cross multiply
    6,094.14x = 9,144.99 × 2,807.70
  4. Step 4: Simplify right side
    6,094.14x = 25,676,388.42
  5. Step 5: Solve for x
    x = 25,676,388.42/6,094.14
  6. Step 6: Final answer
    x = 4,213.29

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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.