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Finding the Fourth Proportional to 9,518.09, 14,249.78 and 7,167.06

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Solution

The fourth proportional to 9,518.09, 14,249.78 and 7,167.06 is: 10,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.09 : 14,249.78 = 7,167.06 : x
  2. Step 2: Convert to fraction form
    9,518.09/14,249.78 = 7,167.06/x
  3. Step 3: Cross multiply
    9,518.09x = 14,249.78 × 7,167.06
  4. Step 4: Simplify right side
    9,518.09x = 102,128,992.41
  5. Step 5: Solve for x
    x = 102,128,992.41/9,518.09
  6. Step 6: Final answer
    x = 10,729.99

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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.