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Finding the Fourth Proportional to 9,608.87, 14,414.04 and 3,688.60

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Solution

The fourth proportional to 9,608.87, 14,414.04 and 3,688.60 is: 5,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.87 : 14,414.04 = 3,688.60 : x
  2. Step 2: Convert to fraction form
    9,608.87/14,414.04 = 3,688.60/x
  3. Step 3: Cross multiply
    9,608.87x = 14,414.04 × 3,688.60
  4. Step 4: Simplify right side
    9,608.87x = 53,167,627.94
  5. Step 5: Solve for x
    x = 53,167,627.94/9,608.87
  6. Step 6: Final answer
    x = 5,533.18

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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.