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Finding the Fourth Proportional to 9,405.16, 12,979.20 and 5,213.68

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Solution

The fourth proportional to 9,405.16, 12,979.20 and 5,213.68 is: 7,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.16 : 12,979.20 = 5,213.68 : x
  2. Step 2: Convert to fraction form
    9,405.16/12,979.20 = 5,213.68/x
  3. Step 3: Cross multiply
    9,405.16x = 12,979.20 × 5,213.68
  4. Step 4: Simplify right side
    9,405.16x = 67,669,395.46
  5. Step 5: Solve for x
    x = 67,669,395.46/9,405.16
  6. Step 6: Final answer
    x = 7,194.92

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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.