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Finding the Fourth Proportional to 9,211.92, 13,809.30 and 3,364.13

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Solution

The fourth proportional to 9,211.92, 13,809.30 and 3,364.13 is: 5,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.92 : 13,809.30 = 3,364.13 : x
  2. Step 2: Convert to fraction form
    9,211.92/13,809.30 = 3,364.13/x
  3. Step 3: Cross multiply
    9,211.92x = 13,809.30 × 3,364.13
  4. Step 4: Simplify right side
    9,211.92x = 46,456,211.36
  5. Step 5: Solve for x
    x = 46,456,211.36/9,211.92
  6. Step 6: Final answer
    x = 5,043.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.