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Finding the Fourth Proportional to 9,481.80, 14,211.16 and 6,709.27

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Solution

The fourth proportional to 9,481.80, 14,211.16 and 6,709.27 is: 10,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.80 : 14,211.16 = 6,709.27 : x
  2. Step 2: Convert to fraction form
    9,481.80/14,211.16 = 6,709.27/x
  3. Step 3: Cross multiply
    9,481.80x = 14,211.16 × 6,709.27
  4. Step 4: Simplify right side
    9,481.80x = 95,346,509.45
  5. Step 5: Solve for x
    x = 95,346,509.45/9,481.80
  6. Step 6: Final answer
    x = 10,055.74

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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.