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Finding the Fourth Proportional to 7,024.14, 9,694.83 and 4,791.36

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Solution

The fourth proportional to 7,024.14, 9,694.83 and 4,791.36 is: 6,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.14 : 9,694.83 = 4,791.36 : x
  2. Step 2: Convert to fraction form
    7,024.14/9,694.83 = 4,791.36/x
  3. Step 3: Cross multiply
    7,024.14x = 9,694.83 × 4,791.36
  4. Step 4: Simplify right side
    7,024.14x = 46,451,420.67
  5. Step 5: Solve for x
    x = 46,451,420.67/7,024.14
  6. Step 6: Final answer
    x = 6,613.11

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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.