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Finding the Fourth Proportional to 8,434.88, 12,652.86 and 4,271.96

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Solution

The fourth proportional to 8,434.88, 12,652.86 and 4,271.96 is: 6,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.88 : 12,652.86 = 4,271.96 : x
  2. Step 2: Convert to fraction form
    8,434.88/12,652.86 = 4,271.96/x
  3. Step 3: Cross multiply
    8,434.88x = 12,652.86 × 4,271.96
  4. Step 4: Simplify right side
    8,434.88x = 54,052,511.81
  5. Step 5: Solve for x
    x = 54,052,511.81/8,434.88
  6. Step 6: Final answer
    x = 6,408.21

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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.