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Finding the Fourth Proportional to 12,327.46, 17,011.53 and 6,738.34

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Solution

The fourth proportional to 12,327.46, 17,011.53 and 6,738.34 is: 9,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.46 : 17,011.53 = 6,738.34 : x
  2. Step 2: Convert to fraction form
    12,327.46/17,011.53 = 6,738.34/x
  3. Step 3: Cross multiply
    12,327.46x = 17,011.53 × 6,738.34
  4. Step 4: Simplify right side
    12,327.46x = 114,629,473.06
  5. Step 5: Solve for x
    x = 114,629,473.06/12,327.46
  6. Step 6: Final answer
    x = 9,298.71

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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.