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Finding the Fourth Proportional to 9,589.43, 13,233.08 and 5,396.87

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Solution

The fourth proportional to 9,589.43, 13,233.08 and 5,396.87 is: 7,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.43 : 13,233.08 = 5,396.87 : x
  2. Step 2: Convert to fraction form
    9,589.43/13,233.08 = 5,396.87/x
  3. Step 3: Cross multiply
    9,589.43x = 13,233.08 × 5,396.87
  4. Step 4: Simplify right side
    9,589.43x = 71,417,119.31
  5. Step 5: Solve for x
    x = 71,417,119.31/9,589.43
  6. Step 6: Final answer
    x = 7,447.49

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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.