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Finding the Fourth Proportional to 8,405.27, 12,616.16 and 6,412.37

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Solution

The fourth proportional to 8,405.27, 12,616.16 and 6,412.37 is: 9,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.27 : 12,616.16 = 6,412.37 : x
  2. Step 2: Convert to fraction form
    8,405.27/12,616.16 = 6,412.37/x
  3. Step 3: Cross multiply
    8,405.27x = 12,616.16 × 6,412.37
  4. Step 4: Simplify right side
    8,405.27x = 80,899,390.76
  5. Step 5: Solve for x
    x = 80,899,390.76/8,405.27
  6. Step 6: Final answer
    x = 9,624.84

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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.