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Finding the Fourth Proportional to 9,755.86, 14,611.92 and 9,427.81

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Solution

The fourth proportional to 9,755.86, 14,611.92 and 9,427.81 is: 14,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.86 : 14,611.92 = 9,427.81 : x
  2. Step 2: Convert to fraction form
    9,755.86/14,611.92 = 9,427.81/x
  3. Step 3: Cross multiply
    9,755.86x = 14,611.92 × 9,427.81
  4. Step 4: Simplify right side
    9,755.86x = 137,758,405.50
  5. Step 5: Solve for x
    x = 137,758,405.50/9,755.86
  6. Step 6: Final answer
    x = 14,120.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.