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Finding the Fourth Proportional to 9,256.56, 13,884.84 and 3,104.88

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Solution

The fourth proportional to 9,256.56, 13,884.84 and 3,104.88 is: 4,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.56 : 13,884.84 = 3,104.88 : x
  2. Step 2: Convert to fraction form
    9,256.56/13,884.84 = 3,104.88/x
  3. Step 3: Cross multiply
    9,256.56x = 13,884.84 × 3,104.88
  4. Step 4: Simplify right side
    9,256.56x = 43,110,762.02
  5. Step 5: Solve for x
    x = 43,110,762.02/9,256.56
  6. Step 6: Final answer
    x = 4,657.32

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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.