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Finding the Fourth Proportional to 9,076.40, 13,614.60 and 6,311.60

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Solution

The fourth proportional to 9,076.40, 13,614.60 and 6,311.60 is: 9,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.40 : 13,614.60 = 6,311.60 : x
  2. Step 2: Convert to fraction form
    9,076.40/13,614.60 = 6,311.60/x
  3. Step 3: Cross multiply
    9,076.40x = 13,614.60 × 6,311.60
  4. Step 4: Simplify right side
    9,076.40x = 85,929,909.36
  5. Step 5: Solve for x
    x = 85,929,909.36/9,076.40
  6. Step 6: Final answer
    x = 9,467.40

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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.