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Finding the Fourth Proportional to 9,209.33, 13,815.81 and 3,365.18

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Solution

The fourth proportional to 9,209.33, 13,815.81 and 3,365.18 is: 5,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.33 : 13,815.81 = 3,365.18 : x
  2. Step 2: Convert to fraction form
    9,209.33/13,815.81 = 3,365.18/x
  3. Step 3: Cross multiply
    9,209.33x = 13,815.81 × 3,365.18
  4. Step 4: Simplify right side
    9,209.33x = 46,492,687.50
  5. Step 5: Solve for x
    x = 46,492,687.50/9,209.33
  6. Step 6: Final answer
    x = 5,048.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.