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Finding the Fourth Proportional to 9,452.98, 14,179.92 and 3,213.28

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Solution

The fourth proportional to 9,452.98, 14,179.92 and 3,213.28 is: 4,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.98 : 14,179.92 = 3,213.28 : x
  2. Step 2: Convert to fraction form
    9,452.98/14,179.92 = 3,213.28/x
  3. Step 3: Cross multiply
    9,452.98x = 14,179.92 × 3,213.28
  4. Step 4: Simplify right side
    9,452.98x = 45,564,053.34
  5. Step 5: Solve for x
    x = 45,564,053.34/9,452.98
  6. Step 6: Final answer
    x = 4,820.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.