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Finding the Fourth Proportional to 9,405.18, 12,979.74 and 5,213.70

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Solution

The fourth proportional to 9,405.18, 12,979.74 and 5,213.70 is: 7,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.18 : 12,979.74 = 5,213.70 : x
  2. Step 2: Convert to fraction form
    9,405.18/12,979.74 = 5,213.70/x
  3. Step 3: Cross multiply
    9,405.18x = 12,979.74 × 5,213.70
  4. Step 4: Simplify right side
    9,405.18x = 67,672,470.44
  5. Step 5: Solve for x
    x = 67,672,470.44/9,405.18
  6. Step 6: Final answer
    x = 7,195.23

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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.