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Finding the Fourth Proportional to 9,696.26, 14,537.10 and 6,568.40

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Solution

The fourth proportional to 9,696.26, 14,537.10 and 6,568.40 is: 9,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.26 : 14,537.10 = 6,568.40 : x
  2. Step 2: Convert to fraction form
    9,696.26/14,537.10 = 6,568.40/x
  3. Step 3: Cross multiply
    9,696.26x = 14,537.10 × 6,568.40
  4. Step 4: Simplify right side
    9,696.26x = 95,485,487.64
  5. Step 5: Solve for x
    x = 95,485,487.64/9,696.26
  6. Step 6: Final answer
    x = 9,847.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.