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Finding the Fourth Proportional to 9,405.64, 12,979.86 and 5,213.96

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Solution

The fourth proportional to 9,405.64, 12,979.86 and 5,213.96 is: 7,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.64 : 12,979.86 = 5,213.96 : x
  2. Step 2: Convert to fraction form
    9,405.64/12,979.86 = 5,213.96/x
  3. Step 3: Cross multiply
    9,405.64x = 12,979.86 × 5,213.96
  4. Step 4: Simplify right side
    9,405.64x = 67,676,470.85
  5. Step 5: Solve for x
    x = 67,676,470.85/9,405.64
  6. Step 6: Final answer
    x = 7,195.31

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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.