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Finding the Fourth Proportional to 7,233.26, 9,969.96 and 4,842.37

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Solution

The fourth proportional to 7,233.26, 9,969.96 and 4,842.37 is: 6,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.26 : 9,969.96 = 4,842.37 : x
  2. Step 2: Convert to fraction form
    7,233.26/9,969.96 = 4,842.37/x
  3. Step 3: Cross multiply
    7,233.26x = 9,969.96 × 4,842.37
  4. Step 4: Simplify right side
    7,233.26x = 48,278,235.21
  5. Step 5: Solve for x
    x = 48,278,235.21/7,233.26
  6. Step 6: Final answer
    x = 6,674.48

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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.