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Finding the Fourth Proportional to 9,138.75, 12,611.48 and 4,947

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Solution

The fourth proportional to 9,138.75, 12,611.48 and 4,947 is: 6,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.75 : 12,611.48 = 4,947 : x
  2. Step 2: Convert to fraction form
    9,138.75/12,611.48 = 4,947/x
  3. Step 3: Cross multiply
    9,138.75x = 12,611.48 × 4,947
  4. Step 4: Simplify right side
    9,138.75x = 62,388,991.56
  5. Step 5: Solve for x
    x = 62,388,991.56/9,138.75
  6. Step 6: Final answer
    x = 6,826.86

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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.