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Finding the Fourth Proportional to 9,832.50, 14,750.91 and 3,676.50

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Solution

The fourth proportional to 9,832.50, 14,750.91 and 3,676.50 is: 5,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.50 : 14,750.91 = 3,676.50 : x
  2. Step 2: Convert to fraction form
    9,832.50/14,750.91 = 3,676.50/x
  3. Step 3: Cross multiply
    9,832.50x = 14,750.91 × 3,676.50
  4. Step 4: Simplify right side
    9,832.50x = 54,231,720.62
  5. Step 5: Solve for x
    x = 54,231,720.62/9,832.50
  6. Step 6: Final answer
    x = 5,515.56

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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.