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Finding the Fourth Proportional to 9,382.84, 12,947.82 and 5,191

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Solution

The fourth proportional to 9,382.84, 12,947.82 and 5,191 is: 7,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.84 : 12,947.82 = 5,191 : x
  2. Step 2: Convert to fraction form
    9,382.84/12,947.82 = 5,191/x
  3. Step 3: Cross multiply
    9,382.84x = 12,947.82 × 5,191
  4. Step 4: Simplify right side
    9,382.84x = 67,212,133.62
  5. Step 5: Solve for x
    x = 67,212,133.62/9,382.84
  6. Step 6: Final answer
    x = 7,163.30

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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.