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Finding the Fourth Proportional to 9,155.86, 12,632.89 and 6,322.33

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Solution

The fourth proportional to 9,155.86, 12,632.89 and 6,322.33 is: 8,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.86 : 12,632.89 = 6,322.33 : x
  2. Step 2: Convert to fraction form
    9,155.86/12,632.89 = 6,322.33/x
  3. Step 3: Cross multiply
    9,155.86x = 12,632.89 × 6,322.33
  4. Step 4: Simplify right side
    9,155.86x = 79,869,257.96
  5. Step 5: Solve for x
    x = 79,869,257.96/9,155.86
  6. Step 6: Final answer
    x = 8,723.29

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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.