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Finding the Fourth Proportional to 6,712.22, 9,262.69 and 3,728.06

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Solution

The fourth proportional to 6,712.22, 9,262.69 and 3,728.06 is: 5,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.22 : 9,262.69 = 3,728.06 : x
  2. Step 2: Convert to fraction form
    6,712.22/9,262.69 = 3,728.06/x
  3. Step 3: Cross multiply
    6,712.22x = 9,262.69 × 3,728.06
  4. Step 4: Simplify right side
    6,712.22x = 34,531,864.08
  5. Step 5: Solve for x
    x = 34,531,864.08/6,712.22
  6. Step 6: Final answer
    x = 5,144.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.