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Finding the Fourth Proportional to 6,929.96, 9,563.33 and 3,743.25

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Solution

The fourth proportional to 6,929.96, 9,563.33 and 3,743.25 is: 5,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.96 : 9,563.33 = 3,743.25 : x
  2. Step 2: Convert to fraction form
    6,929.96/9,563.33 = 3,743.25/x
  3. Step 3: Cross multiply
    6,929.96x = 9,563.33 × 3,743.25
  4. Step 4: Simplify right side
    6,929.96x = 35,797,935.02
  5. Step 5: Solve for x
    x = 35,797,935.02/6,929.96
  6. Step 6: Final answer
    x = 5,165.68

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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.