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Finding the Fourth Proportional to 9,696.26, 14,545.74 and 4,766.09

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Solution

The fourth proportional to 9,696.26, 14,545.74 and 4,766.09 is: 7,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.26 : 14,545.74 = 4,766.09 : x
  2. Step 2: Convert to fraction form
    9,696.26/14,545.74 = 4,766.09/x
  3. Step 3: Cross multiply
    9,696.26x = 14,545.74 × 4,766.09
  4. Step 4: Simplify right side
    9,696.26x = 69,326,305.96
  5. Step 5: Solve for x
    x = 69,326,305.96/9,696.26
  6. Step 6: Final answer
    x = 7,149.80

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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.