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Finding the Fourth Proportional to 11,973.95, 16,524.07 and 6,939.14

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Solution

The fourth proportional to 11,973.95, 16,524.07 and 6,939.14 is: 9,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.95 : 16,524.07 = 6,939.14 : x
  2. Step 2: Convert to fraction form
    11,973.95/16,524.07 = 6,939.14/x
  3. Step 3: Cross multiply
    11,973.95x = 16,524.07 × 6,939.14
  4. Step 4: Simplify right side
    11,973.95x = 114,662,735.13
  5. Step 5: Solve for x
    x = 114,662,735.13/11,973.95
  6. Step 6: Final answer
    x = 9,576.02

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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.