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Finding the Fourth Proportional to 7,112.34, 9,812.75 and 3,967.92

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Solution

The fourth proportional to 7,112.34, 9,812.75 and 3,967.92 is: 5,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.34 : 9,812.75 = 3,967.92 : x
  2. Step 2: Convert to fraction form
    7,112.34/9,812.75 = 3,967.92/x
  3. Step 3: Cross multiply
    7,112.34x = 9,812.75 × 3,967.92
  4. Step 4: Simplify right side
    7,112.34x = 38,936,187.14
  5. Step 5: Solve for x
    x = 38,936,187.14/7,112.34
  6. Step 6: Final answer
    x = 5,474.46

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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.