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Finding the Fourth Proportional to 6,996.43, 9,654.72 and 3,852.55

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Solution

The fourth proportional to 6,996.43, 9,654.72 and 3,852.55 is: 5,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.43 : 9,654.72 = 3,852.55 : x
  2. Step 2: Convert to fraction form
    6,996.43/9,654.72 = 3,852.55/x
  3. Step 3: Cross multiply
    6,996.43x = 9,654.72 × 3,852.55
  4. Step 4: Simplify right side
    6,996.43x = 37,195,291.54
  5. Step 5: Solve for x
    x = 37,195,291.54/6,996.43
  6. Step 6: Final answer
    x = 5,316.32

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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.