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Finding the Fourth Proportional to 9,184.88, 13,778.39 and 3,638.71

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Solution

The fourth proportional to 9,184.88, 13,778.39 and 3,638.71 is: 5,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.88 : 13,778.39 = 3,638.71 : x
  2. Step 2: Convert to fraction form
    9,184.88/13,778.39 = 3,638.71/x
  3. Step 3: Cross multiply
    9,184.88x = 13,778.39 × 3,638.71
  4. Step 4: Simplify right side
    9,184.88x = 50,135,565.48
  5. Step 5: Solve for x
    x = 50,135,565.48/9,184.88
  6. Step 6: Final answer
    x = 5,458.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.