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Finding the Fourth Proportional to 7,046.33, 9,723.27 and 4,213.15

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Solution

The fourth proportional to 7,046.33, 9,723.27 and 4,213.15 is: 5,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.33 : 9,723.27 = 4,213.15 : x
  2. Step 2: Convert to fraction form
    7,046.33/9,723.27 = 4,213.15/x
  3. Step 3: Cross multiply
    7,046.33x = 9,723.27 × 4,213.15
  4. Step 4: Simplify right side
    7,046.33x = 40,965,586.49
  5. Step 5: Solve for x
    x = 40,965,586.49/7,046.33
  6. Step 6: Final answer
    x = 5,813.75

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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.