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Finding the Fourth Proportional to 9,328.80, 13,924.94 and 8,221.66

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Solution

The fourth proportional to 9,328.80, 13,924.94 and 8,221.66 is: 12,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.80 : 13,924.94 = 8,221.66 : x
  2. Step 2: Convert to fraction form
    9,328.80/13,924.94 = 8,221.66/x
  3. Step 3: Cross multiply
    9,328.80x = 13,924.94 × 8,221.66
  4. Step 4: Simplify right side
    9,328.80x = 114,486,122.20
  5. Step 5: Solve for x
    x = 114,486,122.20/9,328.80
  6. Step 6: Final answer
    x = 12,272.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.