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Finding the Fourth Proportional to 6,302.38, 9,455.42 and 2,604.82

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Solution

The fourth proportional to 6,302.38, 9,455.42 and 2,604.82 is: 3,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.38 : 9,455.42 = 2,604.82 : x
  2. Step 2: Convert to fraction form
    6,302.38/9,455.42 = 2,604.82/x
  3. Step 3: Cross multiply
    6,302.38x = 9,455.42 × 2,604.82
  4. Step 4: Simplify right side
    6,302.38x = 24,629,667.12
  5. Step 5: Solve for x
    x = 24,629,667.12/6,302.38
  6. Step 6: Final answer
    x = 3,907.99

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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.