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Finding the Fourth Proportional to 9,078.09, 13,622.59 and 3,883.97

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Solution

The fourth proportional to 9,078.09, 13,622.59 and 3,883.97 is: 5,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.09 : 13,622.59 = 3,883.97 : x
  2. Step 2: Convert to fraction form
    9,078.09/13,622.59 = 3,883.97/x
  3. Step 3: Cross multiply
    9,078.09x = 13,622.59 × 3,883.97
  4. Step 4: Simplify right side
    9,078.09x = 52,909,730.88
  5. Step 5: Solve for x
    x = 52,909,730.88/9,078.09
  6. Step 6: Final answer
    x = 5,828.29

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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.