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Finding the Fourth Proportional to 9,912.26, 13,679.10 and 5,435.74

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Solution

The fourth proportional to 9,912.26, 13,679.10 and 5,435.74 is: 7,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.26 : 13,679.10 = 5,435.74 : x
  2. Step 2: Convert to fraction form
    9,912.26/13,679.10 = 5,435.74/x
  3. Step 3: Cross multiply
    9,912.26x = 13,679.10 × 5,435.74
  4. Step 4: Simplify right side
    9,912.26x = 74,355,996.84
  5. Step 5: Solve for x
    x = 74,355,996.84/9,912.26
  6. Step 6: Final answer
    x = 7,501.42

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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.