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Finding the Fourth Proportional to 9,654.28, 14,480.49 and 3,079.30

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Solution

The fourth proportional to 9,654.28, 14,480.49 and 3,079.30 is: 4,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.28 : 14,480.49 = 3,079.30 : x
  2. Step 2: Convert to fraction form
    9,654.28/14,480.49 = 3,079.30/x
  3. Step 3: Cross multiply
    9,654.28x = 14,480.49 × 3,079.30
  4. Step 4: Simplify right side
    9,654.28x = 44,589,772.86
  5. Step 5: Solve for x
    x = 44,589,772.86/9,654.28
  6. Step 6: Final answer
    x = 4,618.65

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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.