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Finding the Fourth Proportional to 9,471.99, 14,187.27 and 7,809.87

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Solution

The fourth proportional to 9,471.99, 14,187.27 and 7,809.87 is: 11,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.99 : 14,187.27 = 7,809.87 : x
  2. Step 2: Convert to fraction form
    9,471.99/14,187.27 = 7,809.87/x
  3. Step 3: Cross multiply
    9,471.99x = 14,187.27 × 7,809.87
  4. Step 4: Simplify right side
    9,471.99x = 110,800,734.35
  5. Step 5: Solve for x
    x = 110,800,734.35/9,471.99
  6. Step 6: Final answer
    x = 11,697.73

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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.