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Finding the Fourth Proportional to 6,631.76, 9,149.64 and 3,835.28

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Solution

The fourth proportional to 6,631.76, 9,149.64 and 3,835.28 is: 5,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.76 : 9,149.64 = 3,835.28 : x
  2. Step 2: Convert to fraction form
    6,631.76/9,149.64 = 3,835.28/x
  3. Step 3: Cross multiply
    6,631.76x = 9,149.64 × 3,835.28
  4. Step 4: Simplify right side
    6,631.76x = 35,091,431.30
  5. Step 5: Solve for x
    x = 35,091,431.30/6,631.76
  6. Step 6: Final answer
    x = 5,291.42

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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.