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Finding the Fourth Proportional to 9,608.32, 14,409.90 and 3,683.92

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Solution

The fourth proportional to 9,608.32, 14,409.90 and 3,683.92 is: 5,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.32 : 14,409.90 = 3,683.92 : x
  2. Step 2: Convert to fraction form
    9,608.32/14,409.90 = 3,683.92/x
  3. Step 3: Cross multiply
    9,608.32x = 14,409.90 × 3,683.92
  4. Step 4: Simplify right side
    9,608.32x = 53,084,918.81
  5. Step 5: Solve for x
    x = 53,084,918.81/9,608.32
  6. Step 6: Final answer
    x = 5,524.89

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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.