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Finding the Fourth Proportional to 6,664.69, 9,190.37 and 5,723.60

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Solution

The fourth proportional to 6,664.69, 9,190.37 and 5,723.60 is: 7,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.69 : 9,190.37 = 5,723.60 : x
  2. Step 2: Convert to fraction form
    6,664.69/9,190.37 = 5,723.60/x
  3. Step 3: Cross multiply
    6,664.69x = 9,190.37 × 5,723.60
  4. Step 4: Simplify right side
    6,664.69x = 52,602,001.73
  5. Step 5: Solve for x
    x = 52,602,001.73/6,664.69
  6. Step 6: Final answer
    x = 7,892.64

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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.