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Finding the Fourth Proportional to 9,696.17, 14,545.61 and 3,454.33

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Solution

The fourth proportional to 9,696.17, 14,545.61 and 3,454.33 is: 5,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.17 : 14,545.61 = 3,454.33 : x
  2. Step 2: Convert to fraction form
    9,696.17/14,545.61 = 3,454.33/x
  3. Step 3: Cross multiply
    9,696.17x = 14,545.61 × 3,454.33
  4. Step 4: Simplify right side
    9,696.17x = 50,245,323.58
  5. Step 5: Solve for x
    x = 50,245,323.58/9,696.17
  6. Step 6: Final answer
    x = 5,181.98

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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.