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Finding the Fourth Proportional to 6,236.25, 9,353.73 and 1,853.34

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Solution

The fourth proportional to 6,236.25, 9,353.73 and 1,853.34 is: 2,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.25 : 9,353.73 = 1,853.34 : x
  2. Step 2: Convert to fraction form
    6,236.25/9,353.73 = 1,853.34/x
  3. Step 3: Cross multiply
    6,236.25x = 9,353.73 × 1,853.34
  4. Step 4: Simplify right side
    6,236.25x = 17,335,641.96
  5. Step 5: Solve for x
    x = 17,335,641.96/6,236.25
  6. Step 6: Final answer
    x = 2,779.82

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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.