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Finding the Fourth Proportional to 9,596.34, 14,375.41 and 7,625.34

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Solution

The fourth proportional to 9,596.34, 14,375.41 and 7,625.34 is: 11,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.34 : 14,375.41 = 7,625.34 : x
  2. Step 2: Convert to fraction form
    9,596.34/14,375.41 = 7,625.34/x
  3. Step 3: Cross multiply
    9,596.34x = 14,375.41 × 7,625.34
  4. Step 4: Simplify right side
    9,596.34x = 109,617,369.83
  5. Step 5: Solve for x
    x = 109,617,369.83/9,596.34
  6. Step 6: Final answer
    x = 11,422.83

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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.