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Finding the Fourth Proportional to 9,127.86, 13,665.09 and 8,252.38

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Solution

The fourth proportional to 9,127.86, 13,665.09 and 8,252.38 is: 12,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.86 : 13,665.09 = 8,252.38 : x
  2. Step 2: Convert to fraction form
    9,127.86/13,665.09 = 8,252.38/x
  3. Step 3: Cross multiply
    9,127.86x = 13,665.09 × 8,252.38
  4. Step 4: Simplify right side
    9,127.86x = 112,769,563.44
  5. Step 5: Solve for x
    x = 112,769,563.44/9,127.86
  6. Step 6: Final answer
    x = 12,354.44

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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.