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Finding the Fourth Proportional to 8,157.06, 12,216.15 and 6,294.60

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Solution

The fourth proportional to 8,157.06, 12,216.15 and 6,294.60 is: 9,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.06 : 12,216.15 = 6,294.60 : x
  2. Step 2: Convert to fraction form
    8,157.06/12,216.15 = 6,294.60/x
  3. Step 3: Cross multiply
    8,157.06x = 12,216.15 × 6,294.60
  4. Step 4: Simplify right side
    8,157.06x = 76,895,777.79
  5. Step 5: Solve for x
    x = 76,895,777.79/8,157.06
  6. Step 6: Final answer
    x = 9,426.90

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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.