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Finding the Fourth Proportional to 9,440.80, 14,128.80 and 6,524.80

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Solution

The fourth proportional to 9,440.80, 14,128.80 and 6,524.80 is: 9,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.80 : 14,128.80 = 6,524.80 : x
  2. Step 2: Convert to fraction form
    9,440.80/14,128.80 = 6,524.80/x
  3. Step 3: Cross multiply
    9,440.80x = 14,128.80 × 6,524.80
  4. Step 4: Simplify right side
    9,440.80x = 92,187,594.24
  5. Step 5: Solve for x
    x = 92,187,594.24/9,440.80
  6. Step 6: Final answer
    x = 9,764.81

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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.