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Finding the Fourth Proportional to 9,104.32, 13,662.16 and 3,260.80

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Solution

The fourth proportional to 9,104.32, 13,662.16 and 3,260.80 is: 4,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.32 : 13,662.16 = 3,260.80 : x
  2. Step 2: Convert to fraction form
    9,104.32/13,662.16 = 3,260.80/x
  3. Step 3: Cross multiply
    9,104.32x = 13,662.16 × 3,260.80
  4. Step 4: Simplify right side
    9,104.32x = 44,549,571.33
  5. Step 5: Solve for x
    x = 44,549,571.33/9,104.32
  6. Step 6: Final answer
    x = 4,893.23

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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.