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Finding the Fourth Proportional to 9,625.48, 13,274.10 and 8,209.72

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Solution

The fourth proportional to 9,625.48, 13,274.10 and 8,209.72 is: 11,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.48 : 13,274.10 = 8,209.72 : x
  2. Step 2: Convert to fraction form
    9,625.48/13,274.10 = 8,209.72/x
  3. Step 3: Cross multiply
    9,625.48x = 13,274.10 × 8,209.72
  4. Step 4: Simplify right side
    9,625.48x = 108,976,644.25
  5. Step 5: Solve for x
    x = 108,976,644.25/9,625.48
  6. Step 6: Final answer
    x = 11,321.68

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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.