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Finding the Fourth Proportional to 9,208.55, 13,814.30 and 3,661.94

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Solution

The fourth proportional to 9,208.55, 13,814.30 and 3,661.94 is: 5,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.55 : 13,814.30 = 3,661.94 : x
  2. Step 2: Convert to fraction form
    9,208.55/13,814.30 = 3,661.94/x
  3. Step 3: Cross multiply
    9,208.55x = 13,814.30 × 3,661.94
  4. Step 4: Simplify right side
    9,208.55x = 50,587,181.43
  5. Step 5: Solve for x
    x = 50,587,181.43/9,208.55
  6. Step 6: Final answer
    x = 5,493.50

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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.