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Finding the Fourth Proportional to 9,480.98, 14,223.14 and 3,241.64

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Solution

The fourth proportional to 9,480.98, 14,223.14 and 3,241.64 is: 4,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.98 : 14,223.14 = 3,241.64 : x
  2. Step 2: Convert to fraction form
    9,480.98/14,223.14 = 3,241.64/x
  3. Step 3: Cross multiply
    9,480.98x = 14,223.14 × 3,241.64
  4. Step 4: Simplify right side
    9,480.98x = 46,106,299.55
  5. Step 5: Solve for x
    x = 46,106,299.55/9,480.98
  6. Step 6: Final answer
    x = 4,863.03

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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.