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Finding the Fourth Proportional to 9,206.79, 13,816.39 and 3,363.99

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Solution

The fourth proportional to 9,206.79, 13,816.39 and 3,363.99 is: 5,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.79 : 13,816.39 = 3,363.99 : x
  2. Step 2: Convert to fraction form
    9,206.79/13,816.39 = 3,363.99/x
  3. Step 3: Cross multiply
    9,206.79x = 13,816.39 × 3,363.99
  4. Step 4: Simplify right side
    9,206.79x = 46,478,197.80
  5. Step 5: Solve for x
    x = 46,478,197.80/9,206.79
  6. Step 6: Final answer
    x = 5,048.25

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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.