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Finding the Fourth Proportional to 9,611.66, 14,408.94 and 3,772.34

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Solution

The fourth proportional to 9,611.66, 14,408.94 and 3,772.34 is: 5,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.66 : 14,408.94 = 3,772.34 : x
  2. Step 2: Convert to fraction form
    9,611.66/14,408.94 = 3,772.34/x
  3. Step 3: Cross multiply
    9,611.66x = 14,408.94 × 3,772.34
  4. Step 4: Simplify right side
    9,611.66x = 54,355,420.72
  5. Step 5: Solve for x
    x = 54,355,420.72/9,611.66
  6. Step 6: Final answer
    x = 5,655.15

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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.