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Finding the Fourth Proportional to 9,517.90, 14,279.25 and 7,685.66

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Solution

The fourth proportional to 9,517.90, 14,279.25 and 7,685.66 is: 11,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.90 : 14,279.25 = 7,685.66 : x
  2. Step 2: Convert to fraction form
    9,517.90/14,279.25 = 7,685.66/x
  3. Step 3: Cross multiply
    9,517.90x = 14,279.25 × 7,685.66
  4. Step 4: Simplify right side
    9,517.90x = 109,745,460.56
  5. Step 5: Solve for x
    x = 109,745,460.56/9,517.90
  6. Step 6: Final answer
    x = 11,530.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.