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Finding the Fourth Proportional to 6,631.70, 9,151.95 and 3,647.75

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Solution

The fourth proportional to 6,631.70, 9,151.95 and 3,647.75 is: 5,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.70 : 9,151.95 = 3,647.75 : x
  2. Step 2: Convert to fraction form
    6,631.70/9,151.95 = 3,647.75/x
  3. Step 3: Cross multiply
    6,631.70x = 9,151.95 × 3,647.75
  4. Step 4: Simplify right side
    6,631.70x = 33,383,979.85
  5. Step 5: Solve for x
    x = 33,383,979.85/6,631.70
  6. Step 6: Final answer
    x = 5,034.00

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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.