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Finding the Fourth Proportional to 12,446.39, 17,175.86 and 6,781.37

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Solution

The fourth proportional to 12,446.39, 17,175.86 and 6,781.37 is: 9,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.39 : 17,175.86 = 6,781.37 : x
  2. Step 2: Convert to fraction form
    12,446.39/17,175.86 = 6,781.37/x
  3. Step 3: Cross multiply
    12,446.39x = 17,175.86 × 6,781.37
  4. Step 4: Simplify right side
    12,446.39x = 116,475,870.76
  5. Step 5: Solve for x
    x = 116,475,870.76/12,446.39
  6. Step 6: Final answer
    x = 9,358.21

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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.