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Finding the Fourth Proportional to 9,076.60, 13,614.90 and 8,270.20

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Solution

The fourth proportional to 9,076.60, 13,614.90 and 8,270.20 is: 12,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.60 : 13,614.90 = 8,270.20 : x
  2. Step 2: Convert to fraction form
    9,076.60/13,614.90 = 8,270.20/x
  3. Step 3: Cross multiply
    9,076.60x = 13,614.90 × 8,270.20
  4. Step 4: Simplify right side
    9,076.60x = 112,597,945.98
  5. Step 5: Solve for x
    x = 112,597,945.98/9,076.60
  6. Step 6: Final answer
    x = 12,405.30

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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.