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Finding the Fourth Proportional to 9,480.64, 14,220.96 and 2,555.14

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Solution

The fourth proportional to 9,480.64, 14,220.96 and 2,555.14 is: 3,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.64 : 14,220.96 = 2,555.14 : x
  2. Step 2: Convert to fraction form
    9,480.64/14,220.96 = 2,555.14/x
  3. Step 3: Cross multiply
    9,480.64x = 14,220.96 × 2,555.14
  4. Step 4: Simplify right side
    9,480.64x = 36,336,543.73
  5. Step 5: Solve for x
    x = 36,336,543.73/9,480.64
  6. Step 6: Final answer
    x = 3,832.71

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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.