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Finding the Fourth Proportional to 6,698.23, 9,243.21 and 3,713.88

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Solution

The fourth proportional to 6,698.23, 9,243.21 and 3,713.88 is: 5,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.23 : 9,243.21 = 3,713.88 : x
  2. Step 2: Convert to fraction form
    6,698.23/9,243.21 = 3,713.88/x
  3. Step 3: Cross multiply
    6,698.23x = 9,243.21 × 3,713.88
  4. Step 4: Simplify right side
    6,698.23x = 34,328,221.34
  5. Step 5: Solve for x
    x = 34,328,221.34/6,698.23
  6. Step 6: Final answer
    x = 5,124.97

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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.