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Finding the Fourth Proportional to 8,014.90, 12,006.02 and 6,539.38

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Solution

The fourth proportional to 8,014.90, 12,006.02 and 6,539.38 is: 9,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.90 : 12,006.02 = 6,539.38 : x
  2. Step 2: Convert to fraction form
    8,014.90/12,006.02 = 6,539.38/x
  3. Step 3: Cross multiply
    8,014.90x = 12,006.02 × 6,539.38
  4. Step 4: Simplify right side
    8,014.90x = 78,511,834.34
  5. Step 5: Solve for x
    x = 78,511,834.34/8,014.90
  6. Step 6: Final answer
    x = 9,795.74

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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.