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Finding the Fourth Proportional to 9,638.44, 14,454.78 and 3,481

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Solution

The fourth proportional to 9,638.44, 14,454.78 and 3,481 is: 5,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.44 : 14,454.78 = 3,481 : x
  2. Step 2: Convert to fraction form
    9,638.44/14,454.78 = 3,481/x
  3. Step 3: Cross multiply
    9,638.44x = 14,454.78 × 3,481
  4. Step 4: Simplify right side
    9,638.44x = 50,317,089.18
  5. Step 5: Solve for x
    x = 50,317,089.18/9,638.44
  6. Step 6: Final answer
    x = 5,220.46

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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.