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Finding the Fourth Proportional to 8,014.98, 12,022.56 and 6,294.54

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Solution

The fourth proportional to 8,014.98, 12,022.56 and 6,294.54 is: 9,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.98 : 12,022.56 = 6,294.54 : x
  2. Step 2: Convert to fraction form
    8,014.98/12,022.56 = 6,294.54/x
  3. Step 3: Cross multiply
    8,014.98x = 12,022.56 × 6,294.54
  4. Step 4: Simplify right side
    8,014.98x = 75,676,484.82
  5. Step 5: Solve for x
    x = 75,676,484.82/8,014.98
  6. Step 6: Final answer
    x = 9,441.88

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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.