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Finding the Fourth Proportional to 8,029.28, 12,033.54 and 6,470.02

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Solution

The fourth proportional to 8,029.28, 12,033.54 and 6,470.02 is: 9,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.28 : 12,033.54 = 6,470.02 : x
  2. Step 2: Convert to fraction form
    8,029.28/12,033.54 = 6,470.02/x
  3. Step 3: Cross multiply
    8,029.28x = 12,033.54 × 6,470.02
  4. Step 4: Simplify right side
    8,029.28x = 77,857,215.25
  5. Step 5: Solve for x
    x = 77,857,215.25/8,029.28
  6. Step 6: Final answer
    x = 9,696.66

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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.