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Finding the Fourth Proportional to 9,169.61, 12,654.37 and 5,190.64

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Solution

The fourth proportional to 9,169.61, 12,654.37 and 5,190.64 is: 7,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.61 : 12,654.37 = 5,190.64 : x
  2. Step 2: Convert to fraction form
    9,169.61/12,654.37 = 5,190.64/x
  3. Step 3: Cross multiply
    9,169.61x = 12,654.37 × 5,190.64
  4. Step 4: Simplify right side
    9,169.61x = 65,684,279.10
  5. Step 5: Solve for x
    x = 65,684,279.10/9,169.61
  6. Step 6: Final answer
    x = 7,163.26

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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.