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Finding the Fourth Proportional to 12,272.13, 16,935.64 and 6,894.68

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Solution

The fourth proportional to 12,272.13, 16,935.64 and 6,894.68 is: 9,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.13 : 16,935.64 = 6,894.68 : x
  2. Step 2: Convert to fraction form
    12,272.13/16,935.64 = 6,894.68/x
  3. Step 3: Cross multiply
    12,272.13x = 16,935.64 × 6,894.68
  4. Step 4: Simplify right side
    12,272.13x = 116,765,755.26
  5. Step 5: Solve for x
    x = 116,765,755.26/12,272.13
  6. Step 6: Final answer
    x = 9,514.71

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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.