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Finding the Fourth Proportional to 7,134.08, 9,844.86 and 3,947.29

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Solution

The fourth proportional to 7,134.08, 9,844.86 and 3,947.29 is: 5,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.08 : 9,844.86 = 3,947.29 : x
  2. Step 2: Convert to fraction form
    7,134.08/9,844.86 = 3,947.29/x
  3. Step 3: Cross multiply
    7,134.08x = 9,844.86 × 3,947.29
  4. Step 4: Simplify right side
    7,134.08x = 38,860,517.43
  5. Step 5: Solve for x
    x = 38,860,517.43/7,134.08
  6. Step 6: Final answer
    x = 5,447.17

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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.