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Finding the Fourth Proportional to 8,417.75, 12,630.80 and 6,191.09

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Solution

The fourth proportional to 8,417.75, 12,630.80 and 6,191.09 is: 9,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.75 : 12,630.80 = 6,191.09 : x
  2. Step 2: Convert to fraction form
    8,417.75/12,630.80 = 6,191.09/x
  3. Step 3: Cross multiply
    8,417.75x = 12,630.80 × 6,191.09
  4. Step 4: Simplify right side
    8,417.75x = 78,198,419.57
  5. Step 5: Solve for x
    x = 78,198,419.57/8,417.75
  6. Step 6: Final answer
    x = 9,289.71

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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.