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Finding the Fourth Proportional to 9,812.27, 13,541.20 and 5,336.33

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Solution

The fourth proportional to 9,812.27, 13,541.20 and 5,336.33 is: 7,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.27 : 13,541.20 = 5,336.33 : x
  2. Step 2: Convert to fraction form
    9,812.27/13,541.20 = 5,336.33/x
  3. Step 3: Cross multiply
    9,812.27x = 13,541.20 × 5,336.33
  4. Step 4: Simplify right side
    9,812.27x = 72,260,311.80
  5. Step 5: Solve for x
    x = 72,260,311.80/9,812.27
  6. Step 6: Final answer
    x = 7,364.28

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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.