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Finding the Fourth Proportional to 9,334.80, 12,881.64 and 5,972.88

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Solution

The fourth proportional to 9,334.80, 12,881.64 and 5,972.88 is: 8,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.80 : 12,881.64 = 5,972.88 : x
  2. Step 2: Convert to fraction form
    9,334.80/12,881.64 = 5,972.88/x
  3. Step 3: Cross multiply
    9,334.80x = 12,881.64 × 5,972.88
  4. Step 4: Simplify right side
    9,334.80x = 76,940,489.92
  5. Step 5: Solve for x
    x = 76,940,489.92/9,334.80
  6. Step 6: Final answer
    x = 8,242.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.