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Finding the Fourth Proportional to 9,034.56, 12,469.68 and 5,498.94

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Solution

The fourth proportional to 9,034.56, 12,469.68 and 5,498.94 is: 7,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.56 : 12,469.68 = 5,498.94 : x
  2. Step 2: Convert to fraction form
    9,034.56/12,469.68 = 5,498.94/x
  3. Step 3: Cross multiply
    9,034.56x = 12,469.68 × 5,498.94
  4. Step 4: Simplify right side
    9,034.56x = 68,570,022.14
  5. Step 5: Solve for x
    x = 68,570,022.14/9,034.56
  6. Step 6: Final answer
    x = 7,589.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.