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Finding the Fourth Proportional to 9,438.11, 13,024.74 and 5,189.35

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Solution

The fourth proportional to 9,438.11, 13,024.74 and 5,189.35 is: 7,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.11 : 13,024.74 = 5,189.35 : x
  2. Step 2: Convert to fraction form
    9,438.11/13,024.74 = 5,189.35/x
  3. Step 3: Cross multiply
    9,438.11x = 13,024.74 × 5,189.35
  4. Step 4: Simplify right side
    9,438.11x = 67,589,901.96
  5. Step 5: Solve for x
    x = 67,589,901.96/9,438.11
  6. Step 6: Final answer
    x = 7,161.38

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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.