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Finding the Fourth Proportional to 9,763.83, 14,649.26 and 3,190.05

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Solution

The fourth proportional to 9,763.83, 14,649.26 and 3,190.05 is: 4,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.83 : 14,649.26 = 3,190.05 : x
  2. Step 2: Convert to fraction form
    9,763.83/14,649.26 = 3,190.05/x
  3. Step 3: Cross multiply
    9,763.83x = 14,649.26 × 3,190.05
  4. Step 4: Simplify right side
    9,763.83x = 46,731,855.91
  5. Step 5: Solve for x
    x = 46,731,855.91/9,763.83
  6. Step 6: Final answer
    x = 4,786.22

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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.