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Finding the Fourth Proportional to 6,236.37, 9,356.15 and 1,853.82

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Solution

The fourth proportional to 6,236.37, 9,356.15 and 1,853.82 is: 2,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.37 : 9,356.15 = 1,853.82 : x
  2. Step 2: Convert to fraction form
    6,236.37/9,356.15 = 1,853.82/x
  3. Step 3: Cross multiply
    6,236.37x = 9,356.15 × 1,853.82
  4. Step 4: Simplify right side
    6,236.37x = 17,344,649.06
  5. Step 5: Solve for x
    x = 17,344,649.06/6,236.37
  6. Step 6: Final answer
    x = 2,781.21

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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.