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Finding the Fourth Proportional to 9,589.07, 13,233.02 and 5,609.41

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Solution

The fourth proportional to 9,589.07, 13,233.02 and 5,609.41 is: 7,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.07 : 13,233.02 = 5,609.41 : x
  2. Step 2: Convert to fraction form
    9,589.07/13,233.02 = 5,609.41/x
  3. Step 3: Cross multiply
    9,589.07x = 13,233.02 × 5,609.41
  4. Step 4: Simplify right side
    9,589.07x = 74,229,434.72
  5. Step 5: Solve for x
    x = 74,229,434.72/9,589.07
  6. Step 6: Final answer
    x = 7,741.05

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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.