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Finding the Fourth Proportional to 8,216.20, 12,302.70 and 6,473.80

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Solution

The fourth proportional to 8,216.20, 12,302.70 and 6,473.80 is: 9,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.20 : 12,302.70 = 6,473.80 : x
  2. Step 2: Convert to fraction form
    8,216.20/12,302.70 = 6,473.80/x
  3. Step 3: Cross multiply
    8,216.20x = 12,302.70 × 6,473.80
  4. Step 4: Simplify right side
    8,216.20x = 79,645,219.26
  5. Step 5: Solve for x
    x = 79,645,219.26/8,216.20
  6. Step 6: Final answer
    x = 9,693.68

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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.