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Finding the Fourth Proportional to 6,299.73, 8,693.64 and 3,505.23

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Solution

The fourth proportional to 6,299.73, 8,693.64 and 3,505.23 is: 4,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.73 : 8,693.64 = 3,505.23 : x
  2. Step 2: Convert to fraction form
    6,299.73/8,693.64 = 3,505.23/x
  3. Step 3: Cross multiply
    6,299.73x = 8,693.64 × 3,505.23
  4. Step 4: Simplify right side
    6,299.73x = 30,473,207.74
  5. Step 5: Solve for x
    x = 30,473,207.74/6,299.73
  6. Step 6: Final answer
    x = 4,837.22

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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.