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Finding the Fourth Proportional to 6,141.69, 9,206.57 and 2,632.61

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Solution

The fourth proportional to 6,141.69, 9,206.57 and 2,632.61 is: 3,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.69 : 9,206.57 = 2,632.61 : x
  2. Step 2: Convert to fraction form
    6,141.69/9,206.57 = 2,632.61/x
  3. Step 3: Cross multiply
    6,141.69x = 9,206.57 × 2,632.61
  4. Step 4: Simplify right side
    6,141.69x = 24,237,308.25
  5. Step 5: Solve for x
    x = 24,237,308.25/6,141.69
  6. Step 6: Final answer
    x = 3,946.36

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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.