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Finding the Fourth Proportional to 6,431.91, 9,643.55 and 3,620.94

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Solution

The fourth proportional to 6,431.91, 9,643.55 and 3,620.94 is: 5,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.91 : 9,643.55 = 3,620.94 : x
  2. Step 2: Convert to fraction form
    6,431.91/9,643.55 = 3,620.94/x
  3. Step 3: Cross multiply
    6,431.91x = 9,643.55 × 3,620.94
  4. Step 4: Simplify right side
    6,431.91x = 34,918,697.83
  5. Step 5: Solve for x
    x = 34,918,697.83/6,431.91
  6. Step 6: Final answer
    x = 5,428.98

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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.