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Finding the Fourth Proportional to 8,083.46, 12,127.21 and 6,423.86

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Solution

The fourth proportional to 8,083.46, 12,127.21 and 6,423.86 is: 9,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.46 : 12,127.21 = 6,423.86 : x
  2. Step 2: Convert to fraction form
    8,083.46/12,127.21 = 6,423.86/x
  3. Step 3: Cross multiply
    8,083.46x = 12,127.21 × 6,423.86
  4. Step 4: Simplify right side
    8,083.46x = 77,903,406.48
  5. Step 5: Solve for x
    x = 77,903,406.48/8,083.46
  6. Step 6: Final answer
    x = 9,637.39

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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.