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Finding the Fourth Proportional to 9,454.12, 14,179.96 and 3,213.88

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Solution

The fourth proportional to 9,454.12, 14,179.96 and 3,213.88 is: 4,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.12 : 14,179.96 = 3,213.88 : x
  2. Step 2: Convert to fraction form
    9,454.12/14,179.96 = 3,213.88/x
  3. Step 3: Cross multiply
    9,454.12x = 14,179.96 × 3,213.88
  4. Step 4: Simplify right side
    9,454.12x = 45,572,658.41
  5. Step 5: Solve for x
    x = 45,572,658.41/9,454.12
  6. Step 6: Final answer
    x = 4,820.40

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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.