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Finding the Fourth Proportional to 6,670.61, 9,204.83 and 3,837.23

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Solution

The fourth proportional to 6,670.61, 9,204.83 and 3,837.23 is: 5,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.61 : 9,204.83 = 3,837.23 : x
  2. Step 2: Convert to fraction form
    6,670.61/9,204.83 = 3,837.23/x
  3. Step 3: Cross multiply
    6,670.61x = 9,204.83 × 3,837.23
  4. Step 4: Simplify right side
    6,670.61x = 35,321,013.39
  5. Step 5: Solve for x
    x = 35,321,013.39/6,670.61
  6. Step 6: Final answer
    x = 5,295.02

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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.