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Finding the Fourth Proportional to 9,898.44, 14,846.22 and 3,741

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Solution

The fourth proportional to 9,898.44, 14,846.22 and 3,741 is: 5,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.44 : 14,846.22 = 3,741 : x
  2. Step 2: Convert to fraction form
    9,898.44/14,846.22 = 3,741/x
  3. Step 3: Cross multiply
    9,898.44x = 14,846.22 × 3,741
  4. Step 4: Simplify right side
    9,898.44x = 55,539,709.02
  5. Step 5: Solve for x
    x = 55,539,709.02/9,898.44
  6. Step 6: Final answer
    x = 5,610.96

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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.