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Finding the Fourth Proportional to 9,652.50, 13,321.26 and 6,114.42

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Solution

The fourth proportional to 9,652.50, 13,321.26 and 6,114.42 is: 8,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.50 : 13,321.26 = 6,114.42 : x
  2. Step 2: Convert to fraction form
    9,652.50/13,321.26 = 6,114.42/x
  3. Step 3: Cross multiply
    9,652.50x = 13,321.26 × 6,114.42
  4. Step 4: Simplify right side
    9,652.50x = 81,451,778.57
  5. Step 5: Solve for x
    x = 81,451,778.57/9,652.50
  6. Step 6: Final answer
    x = 8,438.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.