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Finding the Fourth Proportional to 9,115.66, 12,576.39 and 6,991.84

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Solution

The fourth proportional to 9,115.66, 12,576.39 and 6,991.84 is: 9,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.66 : 12,576.39 = 6,991.84 : x
  2. Step 2: Convert to fraction form
    9,115.66/12,576.39 = 6,991.84/x
  3. Step 3: Cross multiply
    9,115.66x = 12,576.39 × 6,991.84
  4. Step 4: Simplify right side
    9,115.66x = 87,932,043.78
  5. Step 5: Solve for x
    x = 87,932,043.78/9,115.66
  6. Step 6: Final answer
    x = 9,646.27

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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.