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Finding the Fourth Proportional to 9,791.18, 14,692.16 and 4,244.57

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Solution

The fourth proportional to 9,791.18, 14,692.16 and 4,244.57 is: 6,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.18 : 14,692.16 = 4,244.57 : x
  2. Step 2: Convert to fraction form
    9,791.18/14,692.16 = 4,244.57/x
  3. Step 3: Cross multiply
    9,791.18x = 14,692.16 × 4,244.57
  4. Step 4: Simplify right side
    9,791.18x = 62,361,901.57
  5. Step 5: Solve for x
    x = 62,361,901.57/9,791.18
  6. Step 6: Final answer
    x = 6,369.19

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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.