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Finding the Fourth Proportional to 9,874.98, 14,791.71 and 4,614.44

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Solution

The fourth proportional to 9,874.98, 14,791.71 and 4,614.44 is: 6,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.98 : 14,791.71 = 4,614.44 : x
  2. Step 2: Convert to fraction form
    9,874.98/14,791.71 = 4,614.44/x
  3. Step 3: Cross multiply
    9,874.98x = 14,791.71 × 4,614.44
  4. Step 4: Simplify right side
    9,874.98x = 68,255,401.64
  5. Step 5: Solve for x
    x = 68,255,401.64/9,874.98
  6. Step 6: Final answer
    x = 6,911.95

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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.