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Finding the Fourth Proportional to 7,238.39, 10,857.59 and 6,414.62

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Solution

The fourth proportional to 7,238.39, 10,857.59 and 6,414.62 is: 9,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.39 : 10,857.59 = 6,414.62 : x
  2. Step 2: Convert to fraction form
    7,238.39/10,857.59 = 6,414.62/x
  3. Step 3: Cross multiply
    7,238.39x = 10,857.59 × 6,414.62
  4. Step 4: Simplify right side
    7,238.39x = 69,647,281.89
  5. Step 5: Solve for x
    x = 69,647,281.89/7,238.39
  6. Step 6: Final answer
    x = 9,621.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.