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Finding the Fourth Proportional to 6,405.41, 9,607.93 and 3,489.41

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Solution

The fourth proportional to 6,405.41, 9,607.93 and 3,489.41 is: 5,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.41 : 9,607.93 = 3,489.41 : x
  2. Step 2: Convert to fraction form
    6,405.41/9,607.93 = 3,489.41/x
  3. Step 3: Cross multiply
    6,405.41x = 9,607.93 × 3,489.41
  4. Step 4: Simplify right side
    6,405.41x = 33,526,007.02
  5. Step 5: Solve for x
    x = 33,526,007.02/6,405.41
  6. Step 6: Final answer
    x = 5,234.01

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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.