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Finding the Fourth Proportional to 9,589.56, 14,387.80 and 3,350.49

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Solution

The fourth proportional to 9,589.56, 14,387.80 and 3,350.49 is: 5,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.56 : 14,387.80 = 3,350.49 : x
  2. Step 2: Convert to fraction form
    9,589.56/14,387.80 = 3,350.49/x
  3. Step 3: Cross multiply
    9,589.56x = 14,387.80 × 3,350.49
  4. Step 4: Simplify right side
    9,589.56x = 48,206,180.02
  5. Step 5: Solve for x
    x = 48,206,180.02/9,589.56
  6. Step 6: Final answer
    x = 5,026.94

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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.