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Finding the Fourth Proportional to 8,833.71, 12,177.67 and 6,172.86

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Solution

The fourth proportional to 8,833.71, 12,177.67 and 6,172.86 is: 8,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.71 : 12,177.67 = 6,172.86 : x
  2. Step 2: Convert to fraction form
    8,833.71/12,177.67 = 6,172.86/x
  3. Step 3: Cross multiply
    8,833.71x = 12,177.67 × 6,172.86
  4. Step 4: Simplify right side
    8,833.71x = 75,171,052.04
  5. Step 5: Solve for x
    x = 75,171,052.04/8,833.71
  6. Step 6: Final answer
    x = 8,509.57

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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.