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Finding the Fourth Proportional to 6,094.38, 9,144.18 and 2,977.14

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Solution

The fourth proportional to 6,094.38, 9,144.18 and 2,977.14 is: 4,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.38 : 9,144.18 = 2,977.14 : x
  2. Step 2: Convert to fraction form
    6,094.38/9,144.18 = 2,977.14/x
  3. Step 3: Cross multiply
    6,094.38x = 9,144.18 × 2,977.14
  4. Step 4: Simplify right side
    6,094.38x = 27,223,504.05
  5. Step 5: Solve for x
    x = 27,223,504.05/6,094.38
  6. Step 6: Final answer
    x = 4,466.99

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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.