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Finding the Fourth Proportional to 6,135.57, 9,202.23 and 1,753.20

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Solution

The fourth proportional to 6,135.57, 9,202.23 and 1,753.20 is: 2,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.57 : 9,202.23 = 1,753.20 : x
  2. Step 2: Convert to fraction form
    6,135.57/9,202.23 = 1,753.20/x
  3. Step 3: Cross multiply
    6,135.57x = 9,202.23 × 1,753.20
  4. Step 4: Simplify right side
    6,135.57x = 16,133,349.64
  5. Step 5: Solve for x
    x = 16,133,349.64/6,135.57
  6. Step 6: Final answer
    x = 2,629.48

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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.