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Finding the Fourth Proportional to 6,305.17, 9,449.96 and 3,186.06

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Solution

The fourth proportional to 6,305.17, 9,449.96 and 3,186.06 is: 4,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.17 : 9,449.96 = 3,186.06 : x
  2. Step 2: Convert to fraction form
    6,305.17/9,449.96 = 3,186.06/x
  3. Step 3: Cross multiply
    6,305.17x = 9,449.96 × 3,186.06
  4. Step 4: Simplify right side
    6,305.17x = 30,108,141.35
  5. Step 5: Solve for x
    x = 30,108,141.35/6,305.17
  6. Step 6: Final answer
    x = 4,775.15

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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.