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Finding the Fourth Proportional to 7,112.14, 9,812.00 and 4,127.42

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Solution

The fourth proportional to 7,112.14, 9,812.00 and 4,127.42 is: 5,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.14 : 9,812.00 = 4,127.42 : x
  2. Step 2: Convert to fraction form
    7,112.14/9,812.00 = 4,127.42/x
  3. Step 3: Cross multiply
    7,112.14x = 9,812.00 × 4,127.42
  4. Step 4: Simplify right side
    7,112.14x = 40,498,279.89
  5. Step 5: Solve for x
    x = 40,498,279.89/7,112.14
  6. Step 6: Final answer
    x = 5,694.25

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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.