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Finding the Fourth Proportional to 6,664.69, 9,200.96 and 4,012.75

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Solution

The fourth proportional to 6,664.69, 9,200.96 and 4,012.75 is: 5,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.69 : 9,200.96 = 4,012.75 : x
  2. Step 2: Convert to fraction form
    6,664.69/9,200.96 = 4,012.75/x
  3. Step 3: Cross multiply
    6,664.69x = 9,200.96 × 4,012.75
  4. Step 4: Simplify right side
    6,664.69x = 36,921,152.24
  5. Step 5: Solve for x
    x = 36,921,152.24/6,664.69
  6. Step 6: Final answer
    x = 5,539.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.