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Finding the Fourth Proportional to 9,610.50, 14,380.21 and 8,205.35

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Solution

The fourth proportional to 9,610.50, 14,380.21 and 8,205.35 is: 12,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.50 : 14,380.21 = 8,205.35 : x
  2. Step 2: Convert to fraction form
    9,610.50/14,380.21 = 8,205.35/x
  3. Step 3: Cross multiply
    9,610.50x = 14,380.21 × 8,205.35
  4. Step 4: Simplify right side
    9,610.50x = 117,994,652.29
  5. Step 5: Solve for x
    x = 117,994,652.29/9,610.50
  6. Step 6: Final answer
    x = 12,277.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.