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Finding the Fourth Proportional to 9,696.72, 14,557.98 and 5,755.26

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Solution

The fourth proportional to 9,696.72, 14,557.98 and 5,755.26 is: 8,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.72 : 14,557.98 = 5,755.26 : x
  2. Step 2: Convert to fraction form
    9,696.72/14,557.98 = 5,755.26/x
  3. Step 3: Cross multiply
    9,696.72x = 14,557.98 × 5,755.26
  4. Step 4: Simplify right side
    9,696.72x = 83,784,959.97
  5. Step 5: Solve for x
    x = 83,784,959.97/9,696.72
  6. Step 6: Final answer
    x = 8,640.55

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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.