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Finding the Fourth Proportional to 6,652.63, 9,181.10 and 3,820.83

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Solution

The fourth proportional to 6,652.63, 9,181.10 and 3,820.83 is: 5,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.63 : 9,181.10 = 3,820.83 : x
  2. Step 2: Convert to fraction form
    6,652.63/9,181.10 = 3,820.83/x
  3. Step 3: Cross multiply
    6,652.63x = 9,181.10 × 3,820.83
  4. Step 4: Simplify right side
    6,652.63x = 35,079,422.31
  5. Step 5: Solve for x
    x = 35,079,422.31/6,652.63
  6. Step 6: Final answer
    x = 5,273.02

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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.