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Finding the Fourth Proportional to 12,435.77, 17,161.17 and 6,846.77

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Solution

The fourth proportional to 12,435.77, 17,161.17 and 6,846.77 is: 9,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.77 : 17,161.17 = 6,846.77 : x
  2. Step 2: Convert to fraction form
    12,435.77/17,161.17 = 6,846.77/x
  3. Step 3: Cross multiply
    12,435.77x = 17,161.17 × 6,846.77
  4. Step 4: Simplify right side
    12,435.77x = 117,498,498.12
  5. Step 5: Solve for x
    x = 117,498,498.12/12,435.77
  6. Step 6: Final answer
    x = 9,448.43

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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.