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Finding the Fourth Proportional to 9,454.43, 14,180.43 and 3,214.19

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Solution

The fourth proportional to 9,454.43, 14,180.43 and 3,214.19 is: 4,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.43 : 14,180.43 = 3,214.19 : x
  2. Step 2: Convert to fraction form
    9,454.43/14,180.43 = 3,214.19/x
  3. Step 3: Cross multiply
    9,454.43x = 14,180.43 × 3,214.19
  4. Step 4: Simplify right side
    9,454.43x = 45,578,596.30
  5. Step 5: Solve for x
    x = 45,578,596.30/9,454.43
  6. Step 6: Final answer
    x = 4,820.87

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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.