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Finding the Fourth Proportional to 9,418.40, 14,128.90 and 3,180.20

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Solution

The fourth proportional to 9,418.40, 14,128.90 and 3,180.20 is: 4,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.40 : 14,128.90 = 3,180.20 : x
  2. Step 2: Convert to fraction form
    9,418.40/14,128.90 = 3,180.20/x
  3. Step 3: Cross multiply
    9,418.40x = 14,128.90 × 3,180.20
  4. Step 4: Simplify right side
    9,418.40x = 44,932,727.78
  5. Step 5: Solve for x
    x = 44,932,727.78/9,418.40
  6. Step 6: Final answer
    x = 4,770.74

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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.