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Finding the Fourth Proportional to 9,409.39, 12,984.37 and 5,217.64

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Solution

The fourth proportional to 9,409.39, 12,984.37 and 5,217.64 is: 7,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.39 : 12,984.37 = 5,217.64 : x
  2. Step 2: Convert to fraction form
    9,409.39/12,984.37 = 5,217.64/x
  3. Step 3: Cross multiply
    9,409.39x = 12,984.37 × 5,217.64
  4. Step 4: Simplify right side
    9,409.39x = 67,747,768.29
  5. Step 5: Solve for x
    x = 67,747,768.29/9,409.39
  6. Step 6: Final answer
    x = 7,200.02

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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.