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Finding the Fourth Proportional to 6,012.72, 8,975.70 and 5,743.17

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Solution

The fourth proportional to 6,012.72, 8,975.70 and 5,743.17 is: 8,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.72 : 8,975.70 = 5,743.17 : x
  2. Step 2: Convert to fraction form
    6,012.72/8,975.70 = 5,743.17/x
  3. Step 3: Cross multiply
    6,012.72x = 8,975.70 × 5,743.17
  4. Step 4: Simplify right side
    6,012.72x = 51,548,970.97
  5. Step 5: Solve for x
    x = 51,548,970.97/6,012.72
  6. Step 6: Final answer
    x = 8,573.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.