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Finding the Fourth Proportional to 12,632.85, 17,433.27 and 6,967.44

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Solution

The fourth proportional to 12,632.85, 17,433.27 and 6,967.44 is: 9,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.85 : 17,433.27 = 6,967.44 : x
  2. Step 2: Convert to fraction form
    12,632.85/17,433.27 = 6,967.44/x
  3. Step 3: Cross multiply
    12,632.85x = 17,433.27 × 6,967.44
  4. Step 4: Simplify right side
    12,632.85x = 121,465,262.73
  5. Step 5: Solve for x
    x = 121,465,262.73/12,632.85
  6. Step 6: Final answer
    x = 9,615.03

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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.