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Finding the Fourth Proportional to 7,201.45, 9,937.90 and 4,218.83

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Solution

The fourth proportional to 7,201.45, 9,937.90 and 4,218.83 is: 5,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.45 : 9,937.90 = 4,218.83 : x
  2. Step 2: Convert to fraction form
    7,201.45/9,937.90 = 4,218.83/x
  3. Step 3: Cross multiply
    7,201.45x = 9,937.90 × 4,218.83
  4. Step 4: Simplify right side
    7,201.45x = 41,926,310.66
  5. Step 5: Solve for x
    x = 41,926,310.66/7,201.45
  6. Step 6: Final answer
    x = 5,821.93

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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.