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Finding the Fourth Proportional to 9,611.40, 14,420.61 and 3,772.02

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Solution

The fourth proportional to 9,611.40, 14,420.61 and 3,772.02 is: 5,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.40 : 14,420.61 = 3,772.02 : x
  2. Step 2: Convert to fraction form
    9,611.40/14,420.61 = 3,772.02/x
  3. Step 3: Cross multiply
    9,611.40x = 14,420.61 × 3,772.02
  4. Step 4: Simplify right side
    9,611.40x = 54,394,829.33
  5. Step 5: Solve for x
    x = 54,394,829.33/9,611.40
  6. Step 6: Final answer
    x = 5,659.41

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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.