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Finding the Fourth Proportional to 9,209.43, 13,815.04 and 3,661.54

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Solution

The fourth proportional to 9,209.43, 13,815.04 and 3,661.54 is: 5,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.43 : 13,815.04 = 3,661.54 : x
  2. Step 2: Convert to fraction form
    9,209.43/13,815.04 = 3,661.54/x
  3. Step 3: Cross multiply
    9,209.43x = 13,815.04 × 3,661.54
  4. Step 4: Simplify right side
    9,209.43x = 50,584,284.74
  5. Step 5: Solve for x
    x = 50,584,284.74/9,209.43
  6. Step 6: Final answer
    x = 5,492.66

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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.