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Finding the Fourth Proportional to 6,404.24, 9,605.81 and 3,284.12

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Solution

The fourth proportional to 6,404.24, 9,605.81 and 3,284.12 is: 4,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.24 : 9,605.81 = 3,284.12 : x
  2. Step 2: Convert to fraction form
    6,404.24/9,605.81 = 3,284.12/x
  3. Step 3: Cross multiply
    6,404.24x = 9,605.81 × 3,284.12
  4. Step 4: Simplify right side
    6,404.24x = 31,546,664.96
  5. Step 5: Solve for x
    x = 31,546,664.96/6,404.24
  6. Step 6: Final answer
    x = 4,925.90

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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.