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Finding the Fourth Proportional to 9,953.38, 13,720.94 and 6,367.95

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Solution

The fourth proportional to 9,953.38, 13,720.94 and 6,367.95 is: 8,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.38 : 13,720.94 = 6,367.95 : x
  2. Step 2: Convert to fraction form
    9,953.38/13,720.94 = 6,367.95/x
  3. Step 3: Cross multiply
    9,953.38x = 13,720.94 × 6,367.95
  4. Step 4: Simplify right side
    9,953.38x = 87,374,259.87
  5. Step 5: Solve for x
    x = 87,374,259.87/9,953.38
  6. Step 6: Final answer
    x = 8,778.35

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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.