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Finding the Fourth Proportional to 8,014.26, 12,004.68 and 6,445.80

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Solution

The fourth proportional to 8,014.26, 12,004.68 and 6,445.80 is: 9,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.26 : 12,004.68 = 6,445.80 : x
  2. Step 2: Convert to fraction form
    8,014.26/12,004.68 = 6,445.80/x
  3. Step 3: Cross multiply
    8,014.26x = 12,004.68 × 6,445.80
  4. Step 4: Simplify right side
    8,014.26x = 77,379,766.34
  5. Step 5: Solve for x
    x = 77,379,766.34/8,014.26
  6. Step 6: Final answer
    x = 9,655.26

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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.