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Finding the Fourth Proportional to 9,630.12, 14,414.92 and 9,405.48

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Solution

The fourth proportional to 9,630.12, 14,414.92 and 9,405.48 is: 14,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.12 : 14,414.92 = 9,405.48 : x
  2. Step 2: Convert to fraction form
    9,630.12/14,414.92 = 9,405.48/x
  3. Step 3: Cross multiply
    9,630.12x = 14,414.92 × 9,405.48
  4. Step 4: Simplify right side
    9,630.12x = 135,579,241.76
  5. Step 5: Solve for x
    x = 135,579,241.76/9,630.12
  6. Step 6: Final answer
    x = 14,078.67

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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.