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Finding the Fourth Proportional to 6,140.69, 9,205.07 and 2,631.61

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Solution

The fourth proportional to 6,140.69, 9,205.07 and 2,631.61 is: 3,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.69 : 9,205.07 = 2,631.61 : x
  2. Step 2: Convert to fraction form
    6,140.69/9,205.07 = 2,631.61/x
  3. Step 3: Cross multiply
    6,140.69x = 9,205.07 × 2,631.61
  4. Step 4: Simplify right side
    6,140.69x = 24,224,154.26
  5. Step 5: Solve for x
    x = 24,224,154.26/6,140.69
  6. Step 6: Final answer
    x = 3,944.86

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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.