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Finding the Fourth Proportional to 7,046.69, 9,723.72 and 4,213.49

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Solution

The fourth proportional to 7,046.69, 9,723.72 and 4,213.49 is: 5,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.69 : 9,723.72 = 4,213.49 : x
  2. Step 2: Convert to fraction form
    7,046.69/9,723.72 = 4,213.49/x
  3. Step 3: Cross multiply
    7,046.69x = 9,723.72 × 4,213.49
  4. Step 4: Simplify right side
    7,046.69x = 40,970,795.16
  5. Step 5: Solve for x
    x = 40,970,795.16/7,046.69
  6. Step 6: Final answer
    x = 5,814.19

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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.