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Finding the Fourth Proportional to 6,133.51, 9,198.44 and 2,237

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Solution

The fourth proportional to 6,133.51, 9,198.44 and 2,237 is: 3,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.51 : 9,198.44 = 2,237 : x
  2. Step 2: Convert to fraction form
    6,133.51/9,198.44 = 2,237/x
  3. Step 3: Cross multiply
    6,133.51x = 9,198.44 × 2,237
  4. Step 4: Simplify right side
    6,133.51x = 20,576,899.10
  5. Step 5: Solve for x
    x = 20,576,899.10/6,133.51
  6. Step 6: Final answer
    x = 3,354.84

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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.