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Finding the Fourth Proportional to 9,905.26, 13,675.05 and 5,927.62

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Solution

The fourth proportional to 9,905.26, 13,675.05 and 5,927.62 is: 8,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.26 : 13,675.05 = 5,927.62 : x
  2. Step 2: Convert to fraction form
    9,905.26/13,675.05 = 5,927.62/x
  3. Step 3: Cross multiply
    9,905.26x = 13,675.05 × 5,927.62
  4. Step 4: Simplify right side
    9,905.26x = 81,060,499.88
  5. Step 5: Solve for x
    x = 81,060,499.88/9,905.26
  6. Step 6: Final answer
    x = 8,183.58

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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.