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Finding the Fourth Proportional to 29,309.37, 43,968.15 and 9,589.47

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Solution

The fourth proportional to 29,309.37, 43,968.15 and 9,589.47 is: 14,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.37 : 43,968.15 = 9,589.47 : x
  2. Step 2: Convert to fraction form
    29,309.37/43,968.15 = 9,589.47/x
  3. Step 3: Cross multiply
    29,309.37x = 43,968.15 × 9,589.47
  4. Step 4: Simplify right side
    29,309.37x = 421,631,207.43
  5. Step 5: Solve for x
    x = 421,631,207.43/29,309.37
  6. Step 6: Final answer
    x = 14,385.55

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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.