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Finding the Fourth Proportional to 8,012.77, 12,002.39 and 6,444.30

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Solution

The fourth proportional to 8,012.77, 12,002.39 and 6,444.30 is: 9,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.77 : 12,002.39 = 6,444.30 : x
  2. Step 2: Convert to fraction form
    8,012.77/12,002.39 = 6,444.30/x
  3. Step 3: Cross multiply
    8,012.77x = 12,002.39 × 6,444.30
  4. Step 4: Simplify right side
    8,012.77x = 77,347,001.88
  5. Step 5: Solve for x
    x = 77,347,001.88/8,012.77
  6. Step 6: Final answer
    x = 9,652.97

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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.