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Finding the Fourth Proportional to 4,909, 7,366.38 and 1,947.72

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Solution

The fourth proportional to 4,909, 7,366.38 and 1,947.72 is: 2,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909 : 7,366.38 = 1,947.72 : x
  2. Step 2: Convert to fraction form
    4,909/7,366.38 = 1,947.72/x
  3. Step 3: Cross multiply
    4,909x = 7,366.38 × 1,947.72
  4. Step 4: Simplify right side
    4,909x = 14,347,645.65
  5. Step 5: Solve for x
    x = 14,347,645.65/4,909
  6. Step 6: Final answer
    x = 2,922.72

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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.