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Finding the Fourth Proportional to 6,410.36, 9,609.72 and 3,122.84

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Solution

The fourth proportional to 6,410.36, 9,609.72 and 3,122.84 is: 4,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.36 : 9,609.72 = 3,122.84 : x
  2. Step 2: Convert to fraction form
    6,410.36/9,609.72 = 3,122.84/x
  3. Step 3: Cross multiply
    6,410.36x = 9,609.72 × 3,122.84
  4. Step 4: Simplify right side
    6,410.36x = 30,009,618.00
  5. Step 5: Solve for x
    x = 30,009,618.00/6,410.36
  6. Step 6: Final answer
    x = 4,681.42

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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.