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Finding the Fourth Proportional to 6,615.27, 9,129.92 and 3,820.77

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Solution

The fourth proportional to 6,615.27, 9,129.92 and 3,820.77 is: 5,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.27 : 9,129.92 = 3,820.77 : x
  2. Step 2: Convert to fraction form
    6,615.27/9,129.92 = 3,820.77/x
  3. Step 3: Cross multiply
    6,615.27x = 9,129.92 × 3,820.77
  4. Step 4: Simplify right side
    6,615.27x = 34,883,305.33
  5. Step 5: Solve for x
    x = 34,883,305.33/6,615.27
  6. Step 6: Final answer
    x = 5,273.15

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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.