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Finding the Fourth Proportional to 9,438.15, 13,024.80 and 5,189.39

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Solution

The fourth proportional to 9,438.15, 13,024.80 and 5,189.39 is: 7,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.15 : 13,024.80 = 5,189.39 : x
  2. Step 2: Convert to fraction form
    9,438.15/13,024.80 = 5,189.39/x
  3. Step 3: Cross multiply
    9,438.15x = 13,024.80 × 5,189.39
  4. Step 4: Simplify right side
    9,438.15x = 67,590,766.87
  5. Step 5: Solve for x
    x = 67,590,766.87/9,438.15
  6. Step 6: Final answer
    x = 7,161.44

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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.