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Finding the Fourth Proportional to 6,996.69, 9,655.41 and 3,852.87

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Solution

The fourth proportional to 6,996.69, 9,655.41 and 3,852.87 is: 5,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.69 : 9,655.41 = 3,852.87 : x
  2. Step 2: Convert to fraction form
    6,996.69/9,655.41 = 3,852.87/x
  3. Step 3: Cross multiply
    6,996.69x = 9,655.41 × 3,852.87
  4. Step 4: Simplify right side
    6,996.69x = 37,201,039.53
  5. Step 5: Solve for x
    x = 37,201,039.53/6,996.69
  6. Step 6: Final answer
    x = 5,316.95

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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.