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Finding the Fourth Proportional to 9,638.02, 14,445.20 and 5,481.50

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Solution

The fourth proportional to 9,638.02, 14,445.20 and 5,481.50 is: 8,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.02 : 14,445.20 = 5,481.50 : x
  2. Step 2: Convert to fraction form
    9,638.02/14,445.20 = 5,481.50/x
  3. Step 3: Cross multiply
    9,638.02x = 14,445.20 × 5,481.50
  4. Step 4: Simplify right side
    9,638.02x = 79,181,363.80
  5. Step 5: Solve for x
    x = 79,181,363.80/9,638.02
  6. Step 6: Final answer
    x = 8,215.52

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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.