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Finding the Fourth Proportional to 9,201.87, 13,802.67 and 8,734.37

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Solution

The fourth proportional to 9,201.87, 13,802.67 and 8,734.37 is: 13,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.87 : 13,802.67 = 8,734.37 : x
  2. Step 2: Convert to fraction form
    9,201.87/13,802.67 = 8,734.37/x
  3. Step 3: Cross multiply
    9,201.87x = 13,802.67 × 8,734.37
  4. Step 4: Simplify right side
    9,201.87x = 120,557,557.75
  5. Step 5: Solve for x
    x = 120,557,557.75/9,201.87
  6. Step 6: Final answer
    x = 13,101.42

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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.