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Finding the Fourth Proportional to 8,272.14, 12,386.09 and 6,959.94

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Solution

The fourth proportional to 8,272.14, 12,386.09 and 6,959.94 is: 10,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.14 : 12,386.09 = 6,959.94 : x
  2. Step 2: Convert to fraction form
    8,272.14/12,386.09 = 6,959.94/x
  3. Step 3: Cross multiply
    8,272.14x = 12,386.09 × 6,959.94
  4. Step 4: Simplify right side
    8,272.14x = 86,206,408.43
  5. Step 5: Solve for x
    x = 86,206,408.43/8,272.14
  6. Step 6: Final answer
    x = 10,421.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.