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Finding the Fourth Proportional to 9,409.40, 12,984.54 and 5,217.92

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Solution

The fourth proportional to 9,409.40, 12,984.54 and 5,217.92 is: 7,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.40 : 12,984.54 = 5,217.92 : x
  2. Step 2: Convert to fraction form
    9,409.40/12,984.54 = 5,217.92/x
  3. Step 3: Cross multiply
    9,409.40x = 12,984.54 × 5,217.92
  4. Step 4: Simplify right side
    9,409.40x = 67,752,290.96
  5. Step 5: Solve for x
    x = 67,752,290.96/9,409.40
  6. Step 6: Final answer
    x = 7,200.49

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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.