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Finding the Fourth Proportional to 7,243.14, 9,996.38 and 4,412.17

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Solution

The fourth proportional to 7,243.14, 9,996.38 and 4,412.17 is: 6,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.14 : 9,996.38 = 4,412.17 : x
  2. Step 2: Convert to fraction form
    7,243.14/9,996.38 = 4,412.17/x
  3. Step 3: Cross multiply
    7,243.14x = 9,996.38 × 4,412.17
  4. Step 4: Simplify right side
    7,243.14x = 44,105,727.94
  5. Step 5: Solve for x
    x = 44,105,727.94/7,243.14
  6. Step 6: Final answer
    x = 6,089.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.