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Finding the Fourth Proportional to 9,647.98, 14,479.26 and 4,105.23

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Solution

The fourth proportional to 9,647.98, 14,479.26 and 4,105.23 is: 6,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.98 : 14,479.26 = 4,105.23 : x
  2. Step 2: Convert to fraction form
    9,647.98/14,479.26 = 4,105.23/x
  3. Step 3: Cross multiply
    9,647.98x = 14,479.26 × 4,105.23
  4. Step 4: Simplify right side
    9,647.98x = 59,440,692.53
  5. Step 5: Solve for x
    x = 59,440,692.53/9,647.98
  6. Step 6: Final answer
    x = 6,160.95

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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.