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Finding the Fourth Proportional to 8,384.09, 12,571.32 and 6,483.74

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Solution

The fourth proportional to 8,384.09, 12,571.32 and 6,483.74 is: 9,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.09 : 12,571.32 = 6,483.74 : x
  2. Step 2: Convert to fraction form
    8,384.09/12,571.32 = 6,483.74/x
  3. Step 3: Cross multiply
    8,384.09x = 12,571.32 × 6,483.74
  4. Step 4: Simplify right side
    8,384.09x = 81,509,107.48
  5. Step 5: Solve for x
    x = 81,509,107.48/8,384.09
  6. Step 6: Final answer
    x = 9,721.88

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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.