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Finding the Fourth Proportional to 9,611.70, 14,421.60 and 5,232.30

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Solution

The fourth proportional to 9,611.70, 14,421.60 and 5,232.30 is: 7,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.70 : 14,421.60 = 5,232.30 : x
  2. Step 2: Convert to fraction form
    9,611.70/14,421.60 = 5,232.30/x
  3. Step 3: Cross multiply
    9,611.70x = 14,421.60 × 5,232.30
  4. Step 4: Simplify right side
    9,611.70x = 75,458,137.68
  5. Step 5: Solve for x
    x = 75,458,137.68/9,611.70
  6. Step 6: Final answer
    x = 7,850.65

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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.