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Finding the Fourth Proportional to 6,305.03, 9,447.12 and 3,832.35

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Solution

The fourth proportional to 6,305.03, 9,447.12 and 3,832.35 is: 5,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.03 : 9,447.12 = 3,832.35 : x
  2. Step 2: Convert to fraction form
    6,305.03/9,447.12 = 3,832.35/x
  3. Step 3: Cross multiply
    6,305.03x = 9,447.12 × 3,832.35
  4. Step 4: Simplify right side
    6,305.03x = 36,204,670.33
  5. Step 5: Solve for x
    x = 36,204,670.33/6,305.03
  6. Step 6: Final answer
    x = 5,742.19

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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.