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Finding the Fourth Proportional to 9,735.85, 14,604.29 and 3,161.55

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Solution

The fourth proportional to 9,735.85, 14,604.29 and 3,161.55 is: 4,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.85 : 14,604.29 = 3,161.55 : x
  2. Step 2: Convert to fraction form
    9,735.85/14,604.29 = 3,161.55/x
  3. Step 3: Cross multiply
    9,735.85x = 14,604.29 × 3,161.55
  4. Step 4: Simplify right side
    9,735.85x = 46,172,193.05
  5. Step 5: Solve for x
    x = 46,172,193.05/9,735.85
  6. Step 6: Final answer
    x = 4,742.49

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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.