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Finding the Fourth Proportional to 6,912.64, 9,540.13 and 4,080.95

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Solution

The fourth proportional to 6,912.64, 9,540.13 and 4,080.95 is: 5,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.64 : 9,540.13 = 4,080.95 : x
  2. Step 2: Convert to fraction form
    6,912.64/9,540.13 = 4,080.95/x
  3. Step 3: Cross multiply
    6,912.64x = 9,540.13 × 4,080.95
  4. Step 4: Simplify right side
    6,912.64x = 38,932,779.05
  5. Step 5: Solve for x
    x = 38,932,779.05/6,912.64
  6. Step 6: Final answer
    x = 5,632.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.