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Finding the Fourth Proportional to 9,447.16, 14,177.11 and 3,900.38

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Solution

The fourth proportional to 9,447.16, 14,177.11 and 3,900.38 is: 5,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.16 : 14,177.11 = 3,900.38 : x
  2. Step 2: Convert to fraction form
    9,447.16/14,177.11 = 3,900.38/x
  3. Step 3: Cross multiply
    9,447.16x = 14,177.11 × 3,900.38
  4. Step 4: Simplify right side
    9,447.16x = 55,296,035.67
  5. Step 5: Solve for x
    x = 55,296,035.67/9,447.16
  6. Step 6: Final answer
    x = 5,853.19

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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.