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Finding the Fourth Proportional to 6,262.36, 8,641.47 and 3,743.97

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Solution

The fourth proportional to 6,262.36, 8,641.47 and 3,743.97 is: 5,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.36 : 8,641.47 = 3,743.97 : x
  2. Step 2: Convert to fraction form
    6,262.36/8,641.47 = 3,743.97/x
  3. Step 3: Cross multiply
    6,262.36x = 8,641.47 × 3,743.97
  4. Step 4: Simplify right side
    6,262.36x = 32,353,342.51
  5. Step 5: Solve for x
    x = 32,353,342.51/6,262.36
  6. Step 6: Final answer
    x = 5,166.32

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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.