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Finding the Fourth Proportional to 9,589.39, 13,233.21 and 5,340.34

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Solution

The fourth proportional to 9,589.39, 13,233.21 and 5,340.34 is: 7,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.39 : 13,233.21 = 5,340.34 : x
  2. Step 2: Convert to fraction form
    9,589.39/13,233.21 = 5,340.34/x
  3. Step 3: Cross multiply
    9,589.39x = 13,233.21 × 5,340.34
  4. Step 4: Simplify right side
    9,589.39x = 70,669,840.69
  5. Step 5: Solve for x
    x = 70,669,840.69/9,589.39
  6. Step 6: Final answer
    x = 7,369.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.