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Finding the Fourth Proportional to 9,640.26, 14,462.10 and 3,314.88

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Solution

The fourth proportional to 9,640.26, 14,462.10 and 3,314.88 is: 4,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.26 : 14,462.10 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    9,640.26/14,462.10 = 3,314.88/x
  3. Step 3: Cross multiply
    9,640.26x = 14,462.10 × 3,314.88
  4. Step 4: Simplify right side
    9,640.26x = 47,940,126.05
  5. Step 5: Solve for x
    x = 47,940,126.05/9,640.26
  6. Step 6: Final answer
    x = 4,972.91

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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.