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Finding the Fourth Proportional to 9,584.50, 14,372.43 and 3,740.98

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Solution

The fourth proportional to 9,584.50, 14,372.43 and 3,740.98 is: 5,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.50 : 14,372.43 = 3,740.98 : x
  2. Step 2: Convert to fraction form
    9,584.50/14,372.43 = 3,740.98/x
  3. Step 3: Cross multiply
    9,584.50x = 14,372.43 × 3,740.98
  4. Step 4: Simplify right side
    9,584.50x = 53,766,973.18
  5. Step 5: Solve for x
    x = 53,766,973.18/9,584.50
  6. Step 6: Final answer
    x = 5,609.78

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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.