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Finding the Fourth Proportional to 9,589.08, 13,237.02 and 6,447.09

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Solution

The fourth proportional to 9,589.08, 13,237.02 and 6,447.09 is: 8,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.08 : 13,237.02 = 6,447.09 : x
  2. Step 2: Convert to fraction form
    9,589.08/13,237.02 = 6,447.09/x
  3. Step 3: Cross multiply
    9,589.08x = 13,237.02 × 6,447.09
  4. Step 4: Simplify right side
    9,589.08x = 85,340,259.27
  5. Step 5: Solve for x
    x = 85,340,259.27/9,589.08
  6. Step 6: Final answer
    x = 8,899.73

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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.