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Finding the Fourth Proportional to 9,747.08, 14,618.22 and 2,820.20

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Solution

The fourth proportional to 9,747.08, 14,618.22 and 2,820.20 is: 4,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.08 : 14,618.22 = 2,820.20 : x
  2. Step 2: Convert to fraction form
    9,747.08/14,618.22 = 2,820.20/x
  3. Step 3: Cross multiply
    9,747.08x = 14,618.22 × 2,820.20
  4. Step 4: Simplify right side
    9,747.08x = 41,226,304.04
  5. Step 5: Solve for x
    x = 41,226,304.04/9,747.08
  6. Step 6: Final answer
    x = 4,229.61

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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.