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Finding the Fourth Proportional to 6,996.47, 9,655.25 and 3,852.65

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Solution

The fourth proportional to 6,996.47, 9,655.25 and 3,852.65 is: 5,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.47 : 9,655.25 = 3,852.65 : x
  2. Step 2: Convert to fraction form
    6,996.47/9,655.25 = 3,852.65/x
  3. Step 3: Cross multiply
    6,996.47x = 9,655.25 × 3,852.65
  4. Step 4: Simplify right side
    6,996.47x = 37,198,231.37
  5. Step 5: Solve for x
    x = 37,198,231.37/6,996.47
  6. Step 6: Final answer
    x = 5,316.72

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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.