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Finding the Fourth Proportional to 6,135.36, 9,202.14 and 2,238.84

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Solution

The fourth proportional to 6,135.36, 9,202.14 and 2,238.84 is: 3,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.36 : 9,202.14 = 2,238.84 : x
  2. Step 2: Convert to fraction form
    6,135.36/9,202.14 = 2,238.84/x
  3. Step 3: Cross multiply
    6,135.36x = 9,202.14 × 2,238.84
  4. Step 4: Simplify right side
    6,135.36x = 20,602,119.12
  5. Step 5: Solve for x
    x = 20,602,119.12/6,135.36
  6. Step 6: Final answer
    x = 3,357.93

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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.