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Finding the Fourth Proportional to 9,387.46, 12,954.83 and 5,195.71

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Solution

The fourth proportional to 9,387.46, 12,954.83 and 5,195.71 is: 7,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.46 : 12,954.83 = 5,195.71 : x
  2. Step 2: Convert to fraction form
    9,387.46/12,954.83 = 5,195.71/x
  3. Step 3: Cross multiply
    9,387.46x = 12,954.83 × 5,195.71
  4. Step 4: Simplify right side
    9,387.46x = 67,309,481.41
  5. Step 5: Solve for x
    x = 67,309,481.41/9,387.46
  6. Step 6: Final answer
    x = 7,170.15

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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.