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Finding the Fourth Proportional to 9,783.97, 14,675.18 and 2,763.70

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Solution

The fourth proportional to 9,783.97, 14,675.18 and 2,763.70 is: 4,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.97 : 14,675.18 = 2,763.70 : x
  2. Step 2: Convert to fraction form
    9,783.97/14,675.18 = 2,763.70/x
  3. Step 3: Cross multiply
    9,783.97x = 14,675.18 × 2,763.70
  4. Step 4: Simplify right side
    9,783.97x = 40,557,773.70
  5. Step 5: Solve for x
    x = 40,557,773.70/9,783.97
  6. Step 6: Final answer
    x = 4,145.33

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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.