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Finding the Fourth Proportional to 9,546.67, 13,165.32 and 7,308.64

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Solution

The fourth proportional to 9,546.67, 13,165.32 and 7,308.64 is: 10,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.67 : 13,165.32 = 7,308.64 : x
  2. Step 2: Convert to fraction form
    9,546.67/13,165.32 = 7,308.64/x
  3. Step 3: Cross multiply
    9,546.67x = 13,165.32 × 7,308.64
  4. Step 4: Simplify right side
    9,546.67x = 96,220,584.36
  5. Step 5: Solve for x
    x = 96,220,584.36/9,546.67
  6. Step 6: Final answer
    x = 10,078.97

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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.