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Finding the Fourth Proportional to 9,793.80, 14,687.73 and 2,773.26

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Solution

The fourth proportional to 9,793.80, 14,687.73 and 2,773.26 is: 4,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.80 : 14,687.73 = 2,773.26 : x
  2. Step 2: Convert to fraction form
    9,793.80/14,687.73 = 2,773.26/x
  3. Step 3: Cross multiply
    9,793.80x = 14,687.73 × 2,773.26
  4. Step 4: Simplify right side
    9,793.80x = 40,732,894.10
  5. Step 5: Solve for x
    x = 40,732,894.10/9,793.80
  6. Step 6: Final answer
    x = 4,159.05

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Why These Related Problems?

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