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Finding the Fourth Proportional to 6,202.36, 9,303.54 and 3,086.26

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Solution

The fourth proportional to 6,202.36, 9,303.54 and 3,086.26 is: 4,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.36 : 9,303.54 = 3,086.26 : x
  2. Step 2: Convert to fraction form
    6,202.36/9,303.54 = 3,086.26/x
  3. Step 3: Cross multiply
    6,202.36x = 9,303.54 × 3,086.26
  4. Step 4: Simplify right side
    6,202.36x = 28,713,143.36
  5. Step 5: Solve for x
    x = 28,713,143.36/6,202.36
  6. Step 6: Final answer
    x = 4,629.39

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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.