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Finding the Fourth Proportional to 9,405.40, 12,979.42 and 5,213.66

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Solution

The fourth proportional to 9,405.40, 12,979.42 and 5,213.66 is: 7,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.40 : 12,979.42 = 5,213.66 : x
  2. Step 2: Convert to fraction form
    9,405.40/12,979.42 = 5,213.66/x
  3. Step 3: Cross multiply
    9,405.40x = 12,979.42 × 5,213.66
  4. Step 4: Simplify right side
    9,405.40x = 67,670,282.88
  5. Step 5: Solve for x
    x = 67,670,282.88/9,405.40
  6. Step 6: Final answer
    x = 7,194.83

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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.