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Finding the Fourth Proportional to 9,234.80, 13,852.28 and 2,661

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Solution

The fourth proportional to 9,234.80, 13,852.28 and 2,661 is: 3,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.80 : 13,852.28 = 2,661 : x
  2. Step 2: Convert to fraction form
    9,234.80/13,852.28 = 2,661/x
  3. Step 3: Cross multiply
    9,234.80x = 13,852.28 × 2,661
  4. Step 4: Simplify right side
    9,234.80x = 36,860,917.08
  5. Step 5: Solve for x
    x = 36,860,917.08/9,234.80
  6. Step 6: Final answer
    x = 3,991.52

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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.