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Finding the Fourth Proportional to 9,447.38, 14,168.64 and 3,902.30

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Solution

The fourth proportional to 9,447.38, 14,168.64 and 3,902.30 is: 5,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.38 : 14,168.64 = 3,902.30 : x
  2. Step 2: Convert to fraction form
    9,447.38/14,168.64 = 3,902.30/x
  3. Step 3: Cross multiply
    9,447.38x = 14,168.64 × 3,902.30
  4. Step 4: Simplify right side
    9,447.38x = 55,290,283.87
  5. Step 5: Solve for x
    x = 55,290,283.87/9,447.38
  6. Step 6: Final answer
    x = 5,852.45

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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.