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Finding the Fourth Proportional to 9,662.28, 14,508.15 and 9,186.60

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Solution

The fourth proportional to 9,662.28, 14,508.15 and 9,186.60 is: 13,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.28 : 14,508.15 = 9,186.60 : x
  2. Step 2: Convert to fraction form
    9,662.28/14,508.15 = 9,186.60/x
  3. Step 3: Cross multiply
    9,662.28x = 14,508.15 × 9,186.60
  4. Step 4: Simplify right side
    9,662.28x = 133,280,570.79
  5. Step 5: Solve for x
    x = 133,280,570.79/9,662.28
  6. Step 6: Final answer
    x = 13,793.90

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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.