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Finding the Fourth Proportional to 9,116.44, 13,672.20 and 3,851.48

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Solution

The fourth proportional to 9,116.44, 13,672.20 and 3,851.48 is: 5,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.44 : 13,672.20 = 3,851.48 : x
  2. Step 2: Convert to fraction form
    9,116.44/13,672.20 = 3,851.48/x
  3. Step 3: Cross multiply
    9,116.44x = 13,672.20 × 3,851.48
  4. Step 4: Simplify right side
    9,116.44x = 52,658,204.86
  5. Step 5: Solve for x
    x = 52,658,204.86/9,116.44
  6. Step 6: Final answer
    x = 5,776.18

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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.