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Finding the Fourth Proportional to 9,431.67, 14,129.01 and 5,474.62

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Solution

The fourth proportional to 9,431.67, 14,129.01 and 5,474.62 is: 8,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.67 : 14,129.01 = 5,474.62 : x
  2. Step 2: Convert to fraction form
    9,431.67/14,129.01 = 5,474.62/x
  3. Step 3: Cross multiply
    9,431.67x = 14,129.01 × 5,474.62
  4. Step 4: Simplify right side
    9,431.67x = 77,350,925.40
  5. Step 5: Solve for x
    x = 77,350,925.40/9,431.67
  6. Step 6: Final answer
    x = 8,201.19

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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.