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Finding the Fourth Proportional to 9,205.94, 13,816.78 and 3,663.18

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Solution

The fourth proportional to 9,205.94, 13,816.78 and 3,663.18 is: 5,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.94 : 13,816.78 = 3,663.18 : x
  2. Step 2: Convert to fraction form
    9,205.94/13,816.78 = 3,663.18/x
  3. Step 3: Cross multiply
    9,205.94x = 13,816.78 × 3,663.18
  4. Step 4: Simplify right side
    9,205.94x = 50,613,352.16
  5. Step 5: Solve for x
    x = 50,613,352.16/9,205.94
  6. Step 6: Final answer
    x = 5,497.90

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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.