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Finding the Fourth Proportional to 6,752.58, 9,318.73 and 3,769

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Solution

The fourth proportional to 6,752.58, 9,318.73 and 3,769 is: 5,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.58 : 9,318.73 = 3,769 : x
  2. Step 2: Convert to fraction form
    6,752.58/9,318.73 = 3,769/x
  3. Step 3: Cross multiply
    6,752.58x = 9,318.73 × 3,769
  4. Step 4: Simplify right side
    6,752.58x = 35,122,293.37
  5. Step 5: Solve for x
    x = 35,122,293.37/6,752.58
  6. Step 6: Final answer
    x = 5,201.31

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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.