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Finding the Fourth Proportional to 5,947.09, 8,934.50 and 5,116.73

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Solution

The fourth proportional to 5,947.09, 8,934.50 and 5,116.73 is: 7,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.09 : 8,934.50 = 5,116.73 : x
  2. Step 2: Convert to fraction form
    5,947.09/8,934.50 = 5,116.73/x
  3. Step 3: Cross multiply
    5,947.09x = 8,934.50 × 5,116.73
  4. Step 4: Simplify right side
    5,947.09x = 45,715,392.30
  5. Step 5: Solve for x
    x = 45,715,392.30/5,947.09
  6. Step 6: Final answer
    x = 7,687.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.