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Finding the Fourth Proportional to 9,480.56, 14,221.60 and 2,554.96

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Solution

The fourth proportional to 9,480.56, 14,221.60 and 2,554.96 is: 3,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.56 : 14,221.60 = 2,554.96 : x
  2. Step 2: Convert to fraction form
    9,480.56/14,221.60 = 2,554.96/x
  3. Step 3: Cross multiply
    9,480.56x = 14,221.60 × 2,554.96
  4. Step 4: Simplify right side
    9,480.56x = 36,335,619.14
  5. Step 5: Solve for x
    x = 36,335,619.14/9,480.56
  6. Step 6: Final answer
    x = 3,832.64

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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.