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Finding the Fourth Proportional to 9,640.71, 14,469.26 and 6,874.16

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Solution

The fourth proportional to 9,640.71, 14,469.26 and 6,874.16 is: 10,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.71 : 14,469.26 = 6,874.16 : x
  2. Step 2: Convert to fraction form
    9,640.71/14,469.26 = 6,874.16/x
  3. Step 3: Cross multiply
    9,640.71x = 14,469.26 × 6,874.16
  4. Step 4: Simplify right side
    9,640.71x = 99,463,901.60
  5. Step 5: Solve for x
    x = 99,463,901.60/9,640.71
  6. Step 6: Final answer
    x = 10,317.07

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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.