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Finding the Fourth Proportional to 6,996.54, 9,655.29 and 3,852.75

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Solution

The fourth proportional to 6,996.54, 9,655.29 and 3,852.75 is: 5,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.54 : 9,655.29 = 3,852.75 : x
  2. Step 2: Convert to fraction form
    6,996.54/9,655.29 = 3,852.75/x
  3. Step 3: Cross multiply
    6,996.54x = 9,655.29 × 3,852.75
  4. Step 4: Simplify right side
    6,996.54x = 37,199,418.55
  5. Step 5: Solve for x
    x = 37,199,418.55/6,996.54
  6. Step 6: Final answer
    x = 5,316.83

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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.