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Finding the Fourth Proportional to 7,202.52, 9,939.78 and 4,217.94

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Solution

The fourth proportional to 7,202.52, 9,939.78 and 4,217.94 is: 5,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.52 : 9,939.78 = 4,217.94 : x
  2. Step 2: Convert to fraction form
    7,202.52/9,939.78 = 4,217.94/x
  3. Step 3: Cross multiply
    7,202.52x = 9,939.78 × 4,217.94
  4. Step 4: Simplify right side
    7,202.52x = 41,925,395.65
  5. Step 5: Solve for x
    x = 41,925,395.65/7,202.52
  6. Step 6: Final answer
    x = 5,820.93

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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.