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Finding the Fourth Proportional to 9,696.10, 14,545.39 and 3,456.74

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Solution

The fourth proportional to 9,696.10, 14,545.39 and 3,456.74 is: 5,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.10 : 14,545.39 = 3,456.74 : x
  2. Step 2: Convert to fraction form
    9,696.10/14,545.39 = 3,456.74/x
  3. Step 3: Cross multiply
    9,696.10x = 14,545.39 × 3,456.74
  4. Step 4: Simplify right side
    9,696.10x = 50,279,631.43
  5. Step 5: Solve for x
    x = 50,279,631.43/9,696.10
  6. Step 6: Final answer
    x = 5,185.55

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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.