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Finding the Fourth Proportional to 9,405, 12,979.35 and 5,213.25

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Solution

The fourth proportional to 9,405, 12,979.35 and 5,213.25 is: 7,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405 : 12,979.35 = 5,213.25 : x
  2. Step 2: Convert to fraction form
    9,405/12,979.35 = 5,213.25/x
  3. Step 3: Cross multiply
    9,405x = 12,979.35 × 5,213.25
  4. Step 4: Simplify right side
    9,405x = 67,664,596.39
  5. Step 5: Solve for x
    x = 67,664,596.39/9,405
  6. Step 6: Final answer
    x = 7,194.53

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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.