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Finding the Fourth Proportional to 9,213.24, 12,695.40 and 8,716.92

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Solution

The fourth proportional to 9,213.24, 12,695.40 and 8,716.92 is: 12,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.24 : 12,695.40 = 8,716.92 : x
  2. Step 2: Convert to fraction form
    9,213.24/12,695.40 = 8,716.92/x
  3. Step 3: Cross multiply
    9,213.24x = 12,695.40 × 8,716.92
  4. Step 4: Simplify right side
    9,213.24x = 110,664,786.17
  5. Step 5: Solve for x
    x = 110,664,786.17/9,213.24
  6. Step 6: Final answer
    x = 12,011.49

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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.