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Finding the Fourth Proportional to 6,236.37, 9,346.44 and 2,534.25

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Solution

The fourth proportional to 6,236.37, 9,346.44 and 2,534.25 is: 3,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.37 : 9,346.44 = 2,534.25 : x
  2. Step 2: Convert to fraction form
    6,236.37/9,346.44 = 2,534.25/x
  3. Step 3: Cross multiply
    6,236.37x = 9,346.44 × 2,534.25
  4. Step 4: Simplify right side
    6,236.37x = 23,686,215.57
  5. Step 5: Solve for x
    x = 23,686,215.57/6,236.37
  6. Step 6: Final answer
    x = 3,798.08

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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.