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Finding the Fourth Proportional to 9,205.64, 13,808.49 and 3,658.95

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Solution

The fourth proportional to 9,205.64, 13,808.49 and 3,658.95 is: 5,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.64 : 13,808.49 = 3,658.95 : x
  2. Step 2: Convert to fraction form
    9,205.64/13,808.49 = 3,658.95/x
  3. Step 3: Cross multiply
    9,205.64x = 13,808.49 × 3,658.95
  4. Step 4: Simplify right side
    9,205.64x = 50,524,539.96
  5. Step 5: Solve for x
    x = 50,524,539.96/9,205.64
  6. Step 6: Final answer
    x = 5,488.43

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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.