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Finding the Fourth Proportional to 9,608.60, 14,410.74 and 4,409.48

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Solution

The fourth proportional to 9,608.60, 14,410.74 and 4,409.48 is: 6,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.60 : 14,410.74 = 4,409.48 : x
  2. Step 2: Convert to fraction form
    9,608.60/14,410.74 = 4,409.48/x
  3. Step 3: Cross multiply
    9,608.60x = 14,410.74 × 4,409.48
  4. Step 4: Simplify right side
    9,608.60x = 63,543,869.82
  5. Step 5: Solve for x
    x = 63,543,869.82/9,608.60
  6. Step 6: Final answer
    x = 6,613.23

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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.