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Finding the Fourth Proportional to 9,286.80, 13,897.80 and 6,370.80

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Solution

The fourth proportional to 9,286.80, 13,897.80 and 6,370.80 is: 9,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.80 : 13,897.80 = 6,370.80 : x
  2. Step 2: Convert to fraction form
    9,286.80/13,897.80 = 6,370.80/x
  3. Step 3: Cross multiply
    9,286.80x = 13,897.80 × 6,370.80
  4. Step 4: Simplify right side
    9,286.80x = 88,540,104.24
  5. Step 5: Solve for x
    x = 88,540,104.24/9,286.80
  6. Step 6: Final answer
    x = 9,533.97

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