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Finding the Fourth Proportional to 6,996.31, 9,654.88 and 3,852.49

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Solution

The fourth proportional to 6,996.31, 9,654.88 and 3,852.49 is: 5,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.31 : 9,654.88 = 3,852.49 : x
  2. Step 2: Convert to fraction form
    6,996.31/9,654.88 = 3,852.49/x
  3. Step 3: Cross multiply
    6,996.31x = 9,654.88 × 3,852.49
  4. Step 4: Simplify right side
    6,996.31x = 37,195,328.65
  5. Step 5: Solve for x
    x = 37,195,328.65/6,996.31
  6. Step 6: Final answer
    x = 5,316.42

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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.