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Finding the Fourth Proportional to 7,218.56, 9,960.94 and 4,233.83

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Solution

The fourth proportional to 7,218.56, 9,960.94 and 4,233.83 is: 5,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.56 : 9,960.94 = 4,233.83 : x
  2. Step 2: Convert to fraction form
    7,218.56/9,960.94 = 4,233.83/x
  3. Step 3: Cross multiply
    7,218.56x = 9,960.94 × 4,233.83
  4. Step 4: Simplify right side
    7,218.56x = 42,172,882.09
  5. Step 5: Solve for x
    x = 42,172,882.09/7,218.56
  6. Step 6: Final answer
    x = 5,842.28

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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.