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Finding the Fourth Proportional to 9,429.54, 14,142.49 and 8,961.23

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Solution

The fourth proportional to 9,429.54, 14,142.49 and 8,961.23 is: 13,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.54 : 14,142.49 = 8,961.23 : x
  2. Step 2: Convert to fraction form
    9,429.54/14,142.49 = 8,961.23/x
  3. Step 3: Cross multiply
    9,429.54x = 14,142.49 × 8,961.23
  4. Step 4: Simplify right side
    9,429.54x = 126,734,012.55
  5. Step 5: Solve for x
    x = 126,734,012.55/9,429.54
  6. Step 6: Final answer
    x = 13,440.11

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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.