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Finding the Fourth Proportional to 6,432.69, 9,632.13 and 5,176.61

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Solution

The fourth proportional to 6,432.69, 9,632.13 and 5,176.61 is: 7,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.69 : 9,632.13 = 5,176.61 : x
  2. Step 2: Convert to fraction form
    6,432.69/9,632.13 = 5,176.61/x
  3. Step 3: Cross multiply
    6,432.69x = 9,632.13 × 5,176.61
  4. Step 4: Simplify right side
    6,432.69x = 49,861,749.03
  5. Step 5: Solve for x
    x = 49,861,749.03/6,432.69
  6. Step 6: Final answer
    x = 7,751.30

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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.