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Finding the Fourth Proportional to 9,438.66, 14,160.11 and 3,198.20

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Solution

The fourth proportional to 9,438.66, 14,160.11 and 3,198.20 is: 4,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.66 : 14,160.11 = 3,198.20 : x
  2. Step 2: Convert to fraction form
    9,438.66/14,160.11 = 3,198.20/x
  3. Step 3: Cross multiply
    9,438.66x = 14,160.11 × 3,198.20
  4. Step 4: Simplify right side
    9,438.66x = 45,286,777.01
  5. Step 5: Solve for x
    x = 45,286,777.01/9,438.66
  6. Step 6: Final answer
    x = 4,798.01

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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.