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Finding the Fourth Proportional to 9,338.14, 13,992.61 and 5,868.10

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Solution

The fourth proportional to 9,338.14, 13,992.61 and 5,868.10 is: 8,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.14 : 13,992.61 = 5,868.10 : x
  2. Step 2: Convert to fraction form
    9,338.14/13,992.61 = 5,868.10/x
  3. Step 3: Cross multiply
    9,338.14x = 13,992.61 × 5,868.10
  4. Step 4: Simplify right side
    9,338.14x = 82,109,935.44
  5. Step 5: Solve for x
    x = 82,109,935.44/9,338.14
  6. Step 6: Final answer
    x = 8,792.97

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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.