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Finding the Fourth Proportional to 9,155.23, 12,632.18 and 5,968.24

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Solution

The fourth proportional to 9,155.23, 12,632.18 and 5,968.24 is: 8,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.23 : 12,632.18 = 5,968.24 : x
  2. Step 2: Convert to fraction form
    9,155.23/12,632.18 = 5,968.24/x
  3. Step 3: Cross multiply
    9,155.23x = 12,632.18 × 5,968.24
  4. Step 4: Simplify right side
    9,155.23x = 75,391,820.54
  5. Step 5: Solve for x
    x = 75,391,820.54/9,155.23
  6. Step 6: Final answer
    x = 8,234.84

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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.