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Finding the Fourth Proportional to 6,634.22, 9,155.49 and 3,980.66

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Solution

The fourth proportional to 6,634.22, 9,155.49 and 3,980.66 is: 5,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.22 : 9,155.49 = 3,980.66 : x
  2. Step 2: Convert to fraction form
    6,634.22/9,155.49 = 3,980.66/x
  3. Step 3: Cross multiply
    6,634.22x = 9,155.49 × 3,980.66
  4. Step 4: Simplify right side
    6,634.22x = 36,444,892.82
  5. Step 5: Solve for x
    x = 36,444,892.82/6,634.22
  6. Step 6: Final answer
    x = 5,493.47

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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.