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Finding the Fourth Proportional to 6,992.56, 9,649.54 and 3,968.23

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Solution

The fourth proportional to 6,992.56, 9,649.54 and 3,968.23 is: 5,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.56 : 9,649.54 = 3,968.23 : x
  2. Step 2: Convert to fraction form
    6,992.56/9,649.54 = 3,968.23/x
  3. Step 3: Cross multiply
    6,992.56x = 9,649.54 × 3,968.23
  4. Step 4: Simplify right side
    6,992.56x = 38,291,594.11
  5. Step 5: Solve for x
    x = 38,291,594.11/6,992.56
  6. Step 6: Final answer
    x = 5,476.05

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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.