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Finding the Fourth Proportional to 6,238.42, 9,360.36 and 3,313.31

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Solution

The fourth proportional to 6,238.42, 9,360.36 and 3,313.31 is: 4,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.42 : 9,360.36 = 3,313.31 : x
  2. Step 2: Convert to fraction form
    6,238.42/9,360.36 = 3,313.31/x
  3. Step 3: Cross multiply
    6,238.42x = 9,360.36 × 3,313.31
  4. Step 4: Simplify right side
    6,238.42x = 31,013,727.59
  5. Step 5: Solve for x
    x = 31,013,727.59/6,238.42
  6. Step 6: Final answer
    x = 4,971.41

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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.