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Finding the Fourth Proportional to 9,946.75, 13,726.53 and 5,755.27

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Solution

The fourth proportional to 9,946.75, 13,726.53 and 5,755.27 is: 7,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.75 : 13,726.53 = 5,755.27 : x
  2. Step 2: Convert to fraction form
    9,946.75/13,726.53 = 5,755.27/x
  3. Step 3: Cross multiply
    9,946.75x = 13,726.53 × 5,755.27
  4. Step 4: Simplify right side
    9,946.75x = 78,999,886.31
  5. Step 5: Solve for x
    x = 78,999,886.31/9,946.75
  6. Step 6: Final answer
    x = 7,942.28

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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.