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Finding the Fourth Proportional to 9,665.26, 13,336.23 and 9,173.14

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Solution

The fourth proportional to 9,665.26, 13,336.23 and 9,173.14 is: 12,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.26 : 13,336.23 = 9,173.14 : x
  2. Step 2: Convert to fraction form
    9,665.26/13,336.23 = 9,173.14/x
  3. Step 3: Cross multiply
    9,665.26x = 13,336.23 × 9,173.14
  4. Step 4: Simplify right side
    9,665.26x = 122,335,104.86
  5. Step 5: Solve for x
    x = 122,335,104.86/9,665.26
  6. Step 6: Final answer
    x = 12,657.20

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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.