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Finding the Fourth Proportional to 9,360.74, 14,041 and 2,786.98

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Solution

The fourth proportional to 9,360.74, 14,041 and 2,786.98 is: 4,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360.74 : 14,041 = 2,786.98 : x
  2. Step 2: Convert to fraction form
    9,360.74/14,041 = 2,786.98/x
  3. Step 3: Cross multiply
    9,360.74x = 14,041 × 2,786.98
  4. Step 4: Simplify right side
    9,360.74x = 39,131,986.18
  5. Step 5: Solve for x
    x = 39,131,986.18/9,360.74
  6. Step 6: Final answer
    x = 4,180.44

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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.