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Finding the Fourth Proportional to 9,216.95, 13,826.33 and 3,669

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Solution

The fourth proportional to 9,216.95, 13,826.33 and 3,669 is: 5,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.95 : 13,826.33 = 3,669 : x
  2. Step 2: Convert to fraction form
    9,216.95/13,826.33 = 3,669/x
  3. Step 3: Cross multiply
    9,216.95x = 13,826.33 × 3,669
  4. Step 4: Simplify right side
    9,216.95x = 50,728,786.43
  5. Step 5: Solve for x
    x = 50,728,786.43/9,216.95
  6. Step 6: Final answer
    x = 5,503.86

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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.