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Finding the Fourth Proportional to 7,205.46, 9,943.56 and 4,223.04

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Solution

The fourth proportional to 7,205.46, 9,943.56 and 4,223.04 is: 5,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.46 : 9,943.56 = 4,223.04 : x
  2. Step 2: Convert to fraction form
    7,205.46/9,943.56 = 4,223.04/x
  3. Step 3: Cross multiply
    7,205.46x = 9,943.56 × 4,223.04
  4. Step 4: Simplify right side
    7,205.46x = 41,992,014.33
  5. Step 5: Solve for x
    x = 41,992,014.33/7,205.46
  6. Step 6: Final answer
    x = 5,827.81

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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.