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Finding the Fourth Proportional to 6,133.17, 9,201.12 and 2,237.57

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Solution

The fourth proportional to 6,133.17, 9,201.12 and 2,237.57 is: 3,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.17 : 9,201.12 = 2,237.57 : x
  2. Step 2: Convert to fraction form
    6,133.17/9,201.12 = 2,237.57/x
  3. Step 3: Cross multiply
    6,133.17x = 9,201.12 × 2,237.57
  4. Step 4: Simplify right side
    6,133.17x = 20,588,092.88
  5. Step 5: Solve for x
    x = 20,588,092.88/6,133.17
  6. Step 6: Final answer
    x = 3,356.84

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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.