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Finding the Fourth Proportional to 9,684.38, 13,367.28 and 6,327.74

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Solution

The fourth proportional to 9,684.38, 13,367.28 and 6,327.74 is: 8,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.38 : 13,367.28 = 6,327.74 : x
  2. Step 2: Convert to fraction form
    9,684.38/13,367.28 = 6,327.74/x
  3. Step 3: Cross multiply
    9,684.38x = 13,367.28 × 6,327.74
  4. Step 4: Simplify right side
    9,684.38x = 84,584,705.77
  5. Step 5: Solve for x
    x = 84,584,705.77/9,684.38
  6. Step 6: Final answer
    x = 8,734.14

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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.