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Finding the Fourth Proportional to 9,405.69, 12,979.83 and 5,629.02

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Solution

The fourth proportional to 9,405.69, 12,979.83 and 5,629.02 is: 7,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.69 : 12,979.83 = 5,629.02 : x
  2. Step 2: Convert to fraction form
    9,405.69/12,979.83 = 5,629.02/x
  3. Step 3: Cross multiply
    9,405.69x = 12,979.83 × 5,629.02
  4. Step 4: Simplify right side
    9,405.69x = 73,063,722.67
  5. Step 5: Solve for x
    x = 73,063,722.67/9,405.69
  6. Step 6: Final answer
    x = 7,768.03

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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.