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Finding the Fourth Proportional to 6,610.32, 9,917.46 and 3,836.34

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Solution

The fourth proportional to 6,610.32, 9,917.46 and 3,836.34 is: 5,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.32 : 9,917.46 = 3,836.34 : x
  2. Step 2: Convert to fraction form
    6,610.32/9,917.46 = 3,836.34/x
  3. Step 3: Cross multiply
    6,610.32x = 9,917.46 × 3,836.34
  4. Step 4: Simplify right side
    6,610.32x = 38,046,748.50
  5. Step 5: Solve for x
    x = 38,046,748.50/6,610.32
  6. Step 6: Final answer
    x = 5,755.66

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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.