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Finding the Fourth Proportional to 9,965.12, 14,954 and 9,029.96

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Solution

The fourth proportional to 9,965.12, 14,954 and 9,029.96 is: 13,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.12 : 14,954 = 9,029.96 : x
  2. Step 2: Convert to fraction form
    9,965.12/14,954 = 9,029.96/x
  3. Step 3: Cross multiply
    9,965.12x = 14,954 × 9,029.96
  4. Step 4: Simplify right side
    9,965.12x = 135,034,021.84
  5. Step 5: Solve for x
    x = 135,034,021.84/9,965.12
  6. Step 6: Final answer
    x = 13,550.67

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Why These Related Problems?

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