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Finding the Fourth Proportional to 9,205.20, 13,811.40 and 3,362.40

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Solution

The fourth proportional to 9,205.20, 13,811.40 and 3,362.40 is: 5,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.20 : 13,811.40 = 3,362.40 : x
  2. Step 2: Convert to fraction form
    9,205.20/13,811.40 = 3,362.40/x
  3. Step 3: Cross multiply
    9,205.20x = 13,811.40 × 3,362.40
  4. Step 4: Simplify right side
    9,205.20x = 46,439,451.36
  5. Step 5: Solve for x
    x = 46,439,451.36/9,205.20
  6. Step 6: Final answer
    x = 5,044.91

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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.