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Finding the Fourth Proportional to 12,634.66, 17,434.85 and 6,969.62

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Solution

The fourth proportional to 12,634.66, 17,434.85 and 6,969.62 is: 9,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.66 : 17,434.85 = 6,969.62 : x
  2. Step 2: Convert to fraction form
    12,634.66/17,434.85 = 6,969.62/x
  3. Step 3: Cross multiply
    12,634.66x = 17,434.85 × 6,969.62
  4. Step 4: Simplify right side
    12,634.66x = 121,514,279.26
  5. Step 5: Solve for x
    x = 121,514,279.26/12,634.66
  6. Step 6: Final answer
    x = 9,617.53

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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.