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Finding the Fourth Proportional to 9,155.86, 12,632.97 and 6,177.22

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Solution

The fourth proportional to 9,155.86, 12,632.97 and 6,177.22 is: 8,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.86 : 12,632.97 = 6,177.22 : x
  2. Step 2: Convert to fraction form
    9,155.86/12,632.97 = 6,177.22/x
  3. Step 3: Cross multiply
    9,155.86x = 12,632.97 × 6,177.22
  4. Step 4: Simplify right side
    9,155.86x = 78,036,634.94
  5. Step 5: Solve for x
    x = 78,036,634.94/9,155.86
  6. Step 6: Final answer
    x = 8,523.14

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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.