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Finding the Fourth Proportional to 6,406.36, 9,605.10 and 2,511.16

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Solution

The fourth proportional to 6,406.36, 9,605.10 and 2,511.16 is: 3,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.36 : 9,605.10 = 2,511.16 : x
  2. Step 2: Convert to fraction form
    6,406.36/9,605.10 = 2,511.16/x
  3. Step 3: Cross multiply
    6,406.36x = 9,605.10 × 2,511.16
  4. Step 4: Simplify right side
    6,406.36x = 24,119,942.92
  5. Step 5: Solve for x
    x = 24,119,942.92/6,406.36
  6. Step 6: Final answer
    x = 3,765.00

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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.