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Finding the Fourth Proportional to 29,147.25, 43,721.27 and 9,156.09

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Solution

The fourth proportional to 29,147.25, 43,721.27 and 9,156.09 is: 13,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147.25 : 43,721.27 = 9,156.09 : x
  2. Step 2: Convert to fraction form
    29,147.25/43,721.27 = 9,156.09/x
  3. Step 3: Cross multiply
    29,147.25x = 43,721.27 × 9,156.09
  4. Step 4: Simplify right side
    29,147.25x = 400,315,837.25
  5. Step 5: Solve for x
    x = 400,315,837.25/29,147.25
  6. Step 6: Final answer
    x = 13,734.26

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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.