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Finding the Fourth Proportional to 12,309.72, 16,986.78 and 6,719.64

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Solution

The fourth proportional to 12,309.72, 16,986.78 and 6,719.64 is: 9,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.72 : 16,986.78 = 6,719.64 : x
  2. Step 2: Convert to fraction form
    12,309.72/16,986.78 = 6,719.64/x
  3. Step 3: Cross multiply
    12,309.72x = 16,986.78 × 6,719.64
  4. Step 4: Simplify right side
    12,309.72x = 114,145,046.36
  5. Step 5: Solve for x
    x = 114,145,046.36/12,309.72
  6. Step 6: Final answer
    x = 9,272.76

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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.