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Finding the Fourth Proportional to 6,256, 9,365.34 and 3,783.34

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Solution

The fourth proportional to 6,256, 9,365.34 and 3,783.34 is: 5,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256 : 9,365.34 = 3,783.34 : x
  2. Step 2: Convert to fraction form
    6,256/9,365.34 = 3,783.34/x
  3. Step 3: Cross multiply
    6,256x = 9,365.34 × 3,783.34
  4. Step 4: Simplify right side
    6,256x = 35,432,265.44
  5. Step 5: Solve for x
    x = 35,432,265.44/6,256
  6. Step 6: Final answer
    x = 5,663.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.