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Finding the Fourth Proportional to 10,205.56, 14,074.86 and 9,168.76

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Solution

The fourth proportional to 10,205.56, 14,074.86 and 9,168.76 is: 12,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.56 : 14,074.86 = 9,168.76 : x
  2. Step 2: Convert to fraction form
    10,205.56/14,074.86 = 9,168.76/x
  3. Step 3: Cross multiply
    10,205.56x = 14,074.86 × 9,168.76
  4. Step 4: Simplify right side
    10,205.56x = 129,049,013.37
  5. Step 5: Solve for x
    x = 129,049,013.37/10,205.56
  6. Step 6: Final answer
    x = 12,644.97

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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.